SOLUTION: evaluate 1/32 to the negative 3/5 power. I think you have to find out what the cube root of 32 is so you can find ou the cube root of 1/32, and that will cancel out the threes

Algebra.Com
Question 393326: evaluate 1/32 to the negative 3/5 power.
I think you have to find out what the cube root of 32 is so you can find ou the cube root of 1/32, and that will cancel out the threes and you get 1/(cube root of 32) to the negitive 1/5, but 32 doesn't have a cube root, and after that I'm just lost. I don't get this at all.

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
with fractional exponents, the numerator is a power and the denominator is a root

so what you have is ___ one over, the fifth root of 1/32, cubed

2^5 = 32

1 / [(1/2)^3] = 1 / (1/8) = 8

RELATED QUESTIONS

Evaluate (32^-3/5) Evaluate 32 to the power of negative 3/5 (answered by Simnepi)
What is 32 to the power of negative... (answered by user_dude2008,Theo)
is there more then one way to solve a negative under a radical? if so can you show me the (answered by MathLover1,solver91311,richard1234)
I have 20 algebra problems, some of which are to "simplify," "solve," and to "evaluate."... (answered by jim_thompson5910)
Find the value of 1) 32⅕ (32 to the power of 1/5) 2) 32 ⅖ (32 to the (answered by sudhanshu_kmr,stanbon,RakshithC)
can you help me simplify this radical expression? the problem is cube root of 16x^4y,... (answered by Boreal,solver91311)
Two numbers sum to 32. Twice the larger subtracted from the smaller is -22. Find the... (answered by MathTherapy)
How do you find the domain and range of a quadratic equation??? And if I were to get a... (answered by longjonsilver)
-32 ^ (-6/5): To make the exponent positive, we write expression in the denominator,... (answered by nerdybill)