We are looking for the fifth root of 1/32 raised to the 1 power which
is the same as just saying the fifth root of 1/32.

**Our answer is 1/2** since the fifth root of 32 is 2.

We are looking for the fourth root of 16 raised to the third power.

**The fourth root of 16 is 2 and 2 cubed is 8.**

We are looking for the opposite of the square root of 9/25 raised to
the third power.

**The square root of 9/25 is 3/5 and 3/5 cubed is 27/125. Taking
the opposite we get -27/125.**

***Rewrite
exponent 5/2 as the square root raised to the fifth power**

We are looking for the square root of 9 raised to the fifth power.

**The square root of 9 is 3 and 3 to the fifth power is 243.**

***Raise
a base to two exponents, mult. exp.**

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

***Raise
a base to two exponents, mult. exp.**

*** Multiply like bases, add. exp**

***Factor out x to the 1/3**

***Simplify exponent**

***Rewrite
exponent 1/3 as a cube root**

Last revised on July 19, 2011 by Kim Seward.

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