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Coolmath Prealgebra
Exponents lesson 4 - Exponent Rule #3   (page 2 of 2) page 1
---- This prealgebra lesson explains the third rule of exponents.
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Do you see a short-cut we can do with the exponents?

Check it out:

( x^2 )^3 = x^((2)(3)) = x^6

( w^3 )^3 = w^((3)(3)) = w^9

Here's the official rule:

( a^n )^m = a^((n)(m))

We can do messier ones too!

6 ( x^4 )^7 ( w^2 )^10 ( y^3 )^9 = 6 ( x^28 )( w^20 )( y^27 )

TRY IT:

Simplify

2 ( w^4 )^11 ( x^9 )^2 ( z^3 )^10

CRUNCH SOME: Click here to get some practice problems

 The printing, distribution and/or downloading of these lessons is strictly prohibited.
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