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Language: en

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[Music]
dealing<00:00:02.790><c> with</c><00:00:02.909><c> exponents</c><00:00:03.300><c> can</c><00:00:03.659><c> be</c>

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dealing with exponents can be
 

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dealing with exponents can be
intimidating<00:00:04.110><c> and</c><00:00:04.560><c> remembering</c><00:00:05.339><c> how</c><00:00:05.460><c> to</c>

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intimidating and remembering how to
 

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intimidating and remembering how to
multiply<00:00:05.910><c> divide</c><00:00:06.390><c> or</c><00:00:06.870><c> raise</c><00:00:07.140><c> them</c><00:00:07.350><c> to</c><00:00:07.500><c> a</c><00:00:07.529><c> power</c>

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multiply divide or raise them to a power
 

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multiply divide or raise them to a power
just<00:00:08.280><c> adds</c><00:00:08.490><c> to</c><00:00:08.700><c> the</c><00:00:08.790><c> confusion</c><00:00:09.260><c> but</c><00:00:10.260><c> don't</c>

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just adds to the confusion but don't
 

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just adds to the confusion but don't
worry<00:00:10.679><c> there's</c><00:00:11.070><c> a</c><00:00:11.160><c> little</c><00:00:11.490><c> trick</c><00:00:11.670><c> that</c><00:00:11.910><c> will</c>

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worry there's a little trick that will
 

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worry there's a little trick that will
help<00:00:12.179><c> you</c><00:00:12.360><c> out</c><00:00:12.410><c> first</c><00:00:13.410><c> though</c><00:00:13.679><c> you</c><00:00:13.920><c> need</c><00:00:14.070><c> to</c>

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help you out first though you need to
 

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help you out first though you need to
learn<00:00:14.309><c> a</c><00:00:14.370><c> story</c><00:00:14.759><c> in</c><00:00:15.540><c> our</c><00:00:15.690><c> story</c><00:00:16.049><c> let's</c><00:00:16.350><c> think</c>

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learn a story in our story let's think
 

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learn a story in our story let's think
of<00:00:16.710><c> the</c><00:00:16.800><c> base</c><00:00:17.070><c> as</c><00:00:17.340><c> Big</c><00:00:17.880><c> Brother</c><00:00:18.150><c> and</c><00:00:18.420><c> the</c><00:00:18.900><c> power</c>

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of the base as Big Brother and the power
 

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of the base as Big Brother and the power
as<00:00:19.350><c> little</c><00:00:19.770><c> brother</c><00:00:19.980><c> a</c><00:00:20.250><c> good</c><00:00:21.029><c> way</c><00:00:21.150><c> to</c><00:00:21.210><c> remember</c>

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as little brother a good way to remember
 

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as little brother a good way to remember
this<00:00:21.750><c> is</c><00:00:21.990><c> to</c><00:00:22.050><c> imagine</c><00:00:22.470><c> that</c><00:00:22.800><c> Big</c><00:00:23.039><c> Brother</c><00:00:23.310><c> is</c>

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this is to imagine that Big Brother is
 

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this is to imagine that Big Brother is
carrying<00:00:24.000><c> little</c><00:00:24.180><c> brother</c><00:00:24.449><c> on</c><00:00:24.689><c> his</c><00:00:24.720><c> back</c><00:00:25.189><c> now</c>

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carrying little brother on his back now
 

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carrying little brother on his back now
big<00:00:26.609><c> brother</c><00:00:26.880><c> is</c><00:00:26.970><c> two</c><00:00:27.420><c> grades</c><00:00:27.720><c> ahead</c><00:00:27.869><c> of</c>

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big brother is two grades ahead of
 

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big brother is two grades ahead of
little<00:00:28.470><c> brother</c><00:00:28.680><c> in</c><00:00:29.010><c> first</c><00:00:29.970><c> grade</c><00:00:30.269><c> they</c><00:00:30.570><c> learn</c>

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little brother in first grade they learn
 

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little brother in first grade they learn
addition<00:00:31.260><c> in</c><00:00:31.439><c> second</c><00:00:32.309><c> grade</c><00:00:32.369><c> they</c><00:00:32.669><c> learned</c>

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addition in second grade they learned
 

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addition in second grade they learned
subtraction<00:00:33.510><c> in</c><00:00:34.140><c> third</c><00:00:34.469><c> grade</c><00:00:34.649><c> they</c><00:00:34.860><c> learn</c>

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subtraction in third grade they learn
 

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subtraction in third grade they learn
multiplication<00:00:35.460><c> in</c><00:00:36.030><c> fourth</c><00:00:36.809><c> grade</c><00:00:37.020><c> they</c>

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multiplication in fourth grade they
 

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multiplication in fourth grade they
learn<00:00:37.380><c> division</c><00:00:38.010><c> and</c><00:00:38.190><c> in</c><00:00:38.940><c> fifth</c><00:00:39.210><c> grade</c><00:00:39.450><c> they</c>

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learn division and in fifth grade they
 

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learn division and in fifth grade they
learn<00:00:39.989><c> exponents</c><00:00:40.739><c> we'll</c><00:00:41.550><c> need</c><00:00:41.670><c> to</c><00:00:41.790><c> remember</c>

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learn exponents we'll need to remember
 

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learn exponents we'll need to remember
this<00:00:42.270><c> so</c><00:00:42.540><c> the</c><00:00:42.690><c> chart</c><00:00:42.930><c> will</c><00:00:43.050><c> remain</c><00:00:43.350><c> on-screen</c>

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this so the chart will remain on-screen
 

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this so the chart will remain on-screen
adds<00:00:44.250><c> a</c><00:00:44.370><c> reminder</c><00:00:44.820><c> let's</c><00:00:45.809><c> look</c><00:00:45.960><c> at</c><00:00:46.079><c> how</c><00:00:46.200><c> to</c>

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adds a reminder let's look at how to
 

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adds a reminder let's look at how to
apply<00:00:46.680><c> this</c><00:00:46.829><c> story</c><00:00:47.480><c> we'll</c><00:00:48.480><c> start</c><00:00:48.780><c> with</c><00:00:48.960><c> an</c>

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apply this story we'll start with an
 

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apply this story we'll start with an
example<00:00:49.379><c> of</c><00:00:49.680><c> multiplying</c><00:00:50.399><c> exponents</c><00:00:51.140><c> X</c><00:00:52.140><c> to</c>

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example of multiplying exponents X to
 

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example of multiplying exponents X to
the<00:00:52.559><c> fourth</c><00:00:52.829><c> times</c><00:00:53.070><c> X</c><00:00:53.879><c> to</c><00:00:54.149><c> the</c><00:00:54.210><c> sixth</c><00:00:55.219><c> since</c>

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the fourth times X to the sixth since
 

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the fourth times X to the sixth since
Big<00:00:56.430><c> Brother</c><00:00:56.699><c> is</c><00:00:56.910><c> multiplying</c><00:00:57.570><c> that</c><00:00:58.170><c> means</c><00:00:58.440><c> he</c>

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Big Brother is multiplying that means he
 

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Big Brother is multiplying that means he
is<00:00:58.829><c> in</c><00:00:58.980><c> the</c><00:00:59.160><c> third</c><00:00:59.399><c> grade</c><00:00:59.430><c> and</c><00:01:00.059><c> if</c><00:01:00.870><c> little</c>

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is in the third grade and if little
 

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is in the third grade and if little
brother<00:01:01.350><c> is</c><00:01:01.559><c> two</c><00:01:01.800><c> grades</c><00:01:02.100><c> behind</c><00:01:02.340><c> then</c><00:01:03.120><c> he</c><00:01:03.420><c> is</c>

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brother is two grades behind then he is
 

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brother is two grades behind then he is
in<00:01:03.809><c> first</c><00:01:04.080><c> grade</c><00:01:04.379><c> in</c><00:01:04.589><c> first</c><00:01:05.580><c> grade</c><00:01:05.790><c> he</c><00:01:05.970><c> learns</c>

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in first grade in first grade he learns
 

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in first grade in first grade he learns
addition<00:01:06.689><c> so</c><00:01:07.080><c> that's</c><00:01:07.409><c> what</c><00:01:07.619><c> you</c><00:01:07.710><c> do</c><00:01:07.860><c> you</c><00:01:08.280><c> add</c>

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addition so that's what you do you add
 

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addition so that's what you do you add
the<00:01:08.729><c> powers</c><00:01:09.140><c> 4</c><00:01:10.140><c> plus</c><00:01:10.439><c> 6</c><00:01:10.799><c> equals</c><00:01:11.340><c> 10</c><00:01:11.640><c> so</c><00:01:11.880><c> X</c><00:01:12.720><c> to</c>

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the powers 4 plus 6 equals 10 so X to
 

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the powers 4 plus 6 equals 10 so X to
the<00:01:13.020><c> fourth</c><00:01:13.320><c> times</c><00:01:13.530><c> X</c><00:01:14.010><c> to</c><00:01:14.310><c> the</c><00:01:14.340><c> sixth</c><00:01:14.820><c> equals</c><00:01:14.939><c> x</c>

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the fourth times X to the sixth equals x
 

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the fourth times X to the sixth equals x
to<00:01:15.900><c> the</c><00:01:15.960><c> tenth</c><00:01:16.460><c> let's</c><00:01:17.460><c> try</c><00:01:17.640><c> another</c><00:01:17.850><c> one</c><00:01:18.170><c> y</c><00:01:19.170><c> to</c>

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to the tenth let's try another one y to
 

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to the tenth let's try another one y to
the<00:01:19.409><c> eighth</c><00:01:19.680><c> divided</c><00:01:20.369><c> by</c><00:01:20.640><c> y</c><00:01:21.060><c> to</c><00:01:21.119><c> the</c><00:01:21.299><c> fifth</c>

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the eighth divided by y to the fifth
 

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the eighth divided by y to the fifth
big<00:01:22.860><c> brother</c><00:01:23.130><c> is</c><00:01:23.369><c> dividing</c><00:01:24.030><c> which</c><00:01:24.270><c> means</c><00:01:24.540><c> he's</c>

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big brother is dividing which means he's
 

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big brother is dividing which means he's
in<00:01:24.990><c> fourth</c><00:01:25.320><c> grade</c><00:01:26.060><c> little</c><00:01:27.060><c> brother</c><00:01:27.270><c> is</c><00:01:27.479><c> two</c>

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in fourth grade little brother is two
 

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in fourth grade little brother is two
grades<00:01:27.990><c> behind</c><00:01:28.170><c> in</c><00:01:28.560><c> the</c><00:01:28.710><c> second</c><00:01:29.070><c> grade</c><00:01:29.220><c> in</c>

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grades behind in the second grade in
 

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grades behind in the second grade in
second<00:01:30.270><c> grade</c><00:01:30.360><c> he</c><00:01:30.659><c> learned</c><00:01:30.900><c> subtraction</c><00:01:31.619><c> so</c>

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second grade he learned subtraction so
 

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second grade he learned subtraction so
that's<00:01:32.400><c> what</c><00:01:32.579><c> you</c><00:01:32.670><c> do</c>

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that's what you do
 

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that's what you do
you<00:01:33.360><c> subtract</c><00:01:33.869><c> the</c><00:01:34.049><c> powers</c><00:01:34.579><c> eight</c><00:01:35.579><c> minus</c><00:01:36.150><c> five</c>

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you subtract the powers eight minus five
 

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you subtract the powers eight minus five
equals<00:01:36.720><c> three</c><00:01:37.380><c> so</c><00:01:38.130><c> Y</c><00:01:38.700><c> to</c><00:01:38.759><c> the</c><00:01:39.030><c> eighth</c><00:01:39.180><c> divided</c>

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equals three so Y to the eighth divided
 

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equals three so Y to the eighth divided
by<00:01:40.079><c> y</c><00:01:40.409><c> to</c><00:01:40.470><c> the</c><00:01:40.680><c> fifth</c><00:01:41.009><c> equals</c><00:01:41.220><c> y</c><00:01:41.939><c> to</c><00:01:42.000><c> the</c><00:01:42.180><c> third</c>

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by y to the fifth equals y to the third
 

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by y to the fifth equals y to the third
how<00:01:43.740><c> about</c><00:01:43.979><c> when</c><00:01:44.159><c> you</c><00:01:44.250><c> raise</c><00:01:44.490><c> a</c><00:01:44.520><c> power</c><00:01:44.640><c> to</c><00:01:44.939><c> a</c>

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how about when you raise a power to a
 

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how about when you raise a power to a
power<00:01:45.240><c> such</c><00:01:45.930><c> as</c><00:01:45.960><c> X</c><00:01:46.380><c> to</c><00:01:46.680><c> the</c><00:01:46.770><c> third</c><00:01:47.009><c> raised</c><00:01:47.520><c> to</c>

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power such as X to the third raised to
 

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power such as X to the third raised to
the<00:01:47.850><c> fourth</c><00:01:48.090><c> power</c>

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the fourth power
 

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the fourth power
well<00:01:49.290><c> since</c><00:01:49.619><c> big</c><00:01:49.829><c> brother</c><00:01:50.070><c> learns</c><00:01:50.340><c> exponents</c>

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well since big brother learns exponents
 

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well since big brother learns exponents
in<00:01:51.180><c> fifth</c><00:01:51.600><c> grade</c><00:01:51.840><c> that</c><00:01:52.560><c> would</c><00:01:52.710><c> mean</c><00:01:52.890><c> little</c>

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in fifth grade that would mean little
 

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in fifth grade that would mean little
brother<00:01:53.399><c> is</c><00:01:53.610><c> in</c><00:01:53.790><c> third</c><00:01:54.060><c> grade</c><00:01:54.240><c> where</c><00:01:54.659><c> he</c>

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brother is in third grade where he
 

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brother is in third grade where he
learns<00:01:54.990><c> multiplication</c><00:01:55.799><c> so</c><00:01:56.549><c> you</c><00:01:56.610><c> multiply</c>

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learns multiplication so you multiply
 

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learns multiplication so you multiply
them<00:01:57.299><c> three</c><00:01:58.049><c> times</c><00:01:58.290><c> four</c><00:01:58.740><c> equals</c><00:01:58.950><c> 12</c><00:01:59.579><c> so</c><00:01:59.850><c> X</c><00:02:00.719><c> to</c>

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them three times four equals 12 so X to
 

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them three times four equals 12 so X to
the<00:02:01.110><c> third</c><00:02:01.350><c> raised</c><00:02:01.829><c> to</c><00:02:02.040><c> the</c><00:02:02.130><c> fourth</c><00:02:02.369><c> power</c>

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the third raised to the fourth power
 

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the third raised to the fourth power
equals<00:02:03.420><c> x</c><00:02:03.780><c> to</c><00:02:03.960><c> the</c><00:02:04.020><c> 12th</c><00:02:04.850><c> remember</c><00:02:05.850><c> in</c><00:02:06.000><c> order</c>

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equals x to the 12th remember in order
 

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equals x to the 12th remember in order
to<00:02:06.390><c> perform</c><00:02:06.810><c> these</c><00:02:06.960><c> operations</c><00:02:07.590><c> the</c><00:02:07.680><c> base</c><00:02:07.979><c> has</c>

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to perform these operations the base has
 

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to perform these operations the base has
to<00:02:08.310><c> be</c><00:02:08.520><c> the</c><00:02:08.729><c> same</c><00:02:09.020><c> however</c><00:02:10.020><c> if</c><00:02:10.289><c> they</c><00:02:10.500><c> are</c><00:02:10.679><c> this</c>

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to be the same however if they are this
 

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to be the same however if they are this
trick<00:02:11.430><c> will</c><00:02:11.580><c> work</c><00:02:11.610><c> whenever</c><00:02:11.970><c> you</c><00:02:12.300><c> are</c>

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trick will work whenever you are
 

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trick will work whenever you are
multiplying<00:02:13.040><c> dividing</c><00:02:13.550><c> or</c><00:02:14.120><c> raising</c>

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multiplying dividing or raising
 

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multiplying dividing or raising
exponents<00:02:15.260><c> to</c><00:02:15.410><c> a</c><00:02:15.440><c> power</c>

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exponents to a power
 

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exponents to a power
[Music]