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

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

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

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

* Divide like bases, sub. exp

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

*Rewrite as recip. of base raised to pos. 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. All contents copyright (C) 2001 - 2011, WTAMU and Kim Seward. All rights reserved.