3 Title

Intermediate Algebra
Answer/Discussion to Practice Problems
Tutorial 38: Rational Exponents

 Answer/Discussion to 1a

 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.

 Answer/Discussion to 1b

 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.

 Answer/Discussion to 1c

 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.

 Answer/Discussion to 2a

 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.

 Answer/Discussion to 3a

 Answer/Discussion to 3b

 Answer/Discussion to 4a

 Answer/Discussion to 5a

 *Factor out x to the 1/3

 Answer/Discussion to 6a

 *Simplify exponent

Last revised on July 19, 2011 by Kim Seward.
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