SOLUTION: I do not understand the problem at all. My teacher gave us the answers to check our work. I am pretty sure I did this right but my answer is different from hers and I don't know wh

Algebra ->  Radicals -> SOLUTION: I do not understand the problem at all. My teacher gave us the answers to check our work. I am pretty sure I did this right but my answer is different from hers and I don't know wh      Log On


   

Question 67478This question is from textbook Algebra and Trigonometry Structure and Method Book 2
: I do not understand the problem at all. My teacher gave us the answers to check our work. I am pretty sure I did this right but my answer is different from hers and I don't know why.
We are doing properties of radicals.
Evaluate the following radicals if x=4, y=3, and z=8.
52. cube root of (xz) to the -1 power.
Her answer was 2/4 to the cube root. This question is from textbook Algebra and Trigonometry Structure and Method Book 2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate the following radicals if x=4, y=3, and z=8
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cube root of (xz) to the -1 power.
Her answer was 2/4 to the cube root.
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[ (xz)^(-1]^(1/3)
=(xz)^(-1/3)
=(32)^(-1/3)
= (1/32)^(1/3)
=(1/2)(1/4)^(1/3)
=(1/2) times the cube root of (1/4)
Cheers,
Stan H.