SOLUTION: Please show me how to get the answer, this was a multiple choice question I had for homework? -64^2/3 A.) 16 B.) -16 C.)1/16 D.) -1/16

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Question 79755: Please show me how to get the answer, this was a multiple choice question I had for homework?
-64^2/3
A.) 16 B.) -16 C.)1/16 D.) -1/16

Found 2 solutions by Edwin McCravy, tutor_paul:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

Please show me how to get the answer, this was a 
multiple choice question I had for homework? 
-64^2/3 

A.) 16 B.) -16 C.)1/16 D.) -1/16


-64%5E%282%2F3%29 means -1%2A64%5E%282%2F3%29 which means

-1%2A%28root%283%2C64%29%29%5E2 which means -1%2A%284%29%5E2 which means

-1%2A+16 which means -16 which is choice B).

Edwin

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
-64%5E%282%2F3%29
The way to think about this problem is to interpret it as "-1 times the cube-root of (64)^2 "
So, first, square 64. Then take the cube root of the result. Multiply by -1...That is your answer!
Good Luck,
tutor_paul@yahoo.com