Answer/Discussion to Practice Problems

We are looking for the square root of 100 raised to the 1 power, which
is the same as just saying the square root of 100.

If your exponent's numerator is 1, you are basically just looking for the root (the denominator's exponent).

**Our answer is 10** since the square root of 100 is 10.

***Rewrite
exponent 2/3 as a cube root being squared**

***Cube root of -1/64 = -1/4**

In this problem we are looking for the cube root of -1/64 squared.
Again, I think it is easier to do the root part first if possible.
The numbers will be easier to work with.

**The cube root of -1/64 is -4 and (-4) squared is 16.**

***Rewrite
as recip. of base raised to pos. exp.**

***Square root of 16 = 4**

***Rewrite
as recip. of base raised to pos. exp.**

***Simplify exponent**

***Rewrite
exponent 3/2 as a square root of x cubed**

Last revised on Dec. 6, 2009 by Kim Seward.

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