SOLUTION: Evaluate (32^-3/5) Evaluate 32 to the power of negative 3/5

Question 703719: Evaluate (32^-3/5)
Evaluate 32 to the power of negative 3/5

Answer by Simnepi(216) (Show Source): You can put this solution on YOUR website!
Okay, let's start at the beginning!
a fractional power means do 2 things find the root of the denominator and then raise this to the power of the numerator. A negative means write the reciprocal of the number.
so a problem like (8 to the power negative two thirds) means find the third root (cube root) of 8 (because the denominator of the fraction power is 3), which is 2, then raise this to the power 2, giving us the answer 4. then do the reciprocal giving a final answer of
So, looking at your problem
we need to find the 5th root of 32, which is 2.
Then raise this to the power 3, giving 8!
The negative power indicates the reciprocal of the number so giving a final answer as
RELATED QUESTIONS
What is 32 to the power of negative... (answered by user_dude2008,Theo)

Evaluate this expression:... (answered by josmiceli)

evaluate 1/32 to the negative 3/5 power. I think you have to find out what the cube... (answered by scott8148)

Evaluate 5+4(2-5) to the 2 power + 3 (answered by rfer)

Please Help me evaluate this equation:... (answered by Alan3354)

How to evaluate the expression, if possible... (answered by Alan3354)

Evaluate 8.3 to the power of... (answered by stanbon)

how do you evaluate the logarithm (5/3)to the power of... (answered by jsmallt9)

use the rules of exponents to evaluate or simplify. Write without negative exponents.... (answered by jim_thompson5910)