SOLUTION: I am not really sure how to do this. What am I supppose to simplify? Is there a certain way how to do these? Simplify: a. 64^2/3 b. (-8 )^-4/3

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: I am not really sure how to do this. What am I supppose to simplify? Is there a certain way how to do these? Simplify: a. 64^2/3 b. (-8 )^-4/3       Log On

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Question 49900: I am not really sure how to do this. What am I supppose to simplify? Is there a certain way how to do these?
Simplify:
a. 64^2/3

b. (-8 )^-4/3

Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
a) 64%5E%282%2F3%29 This can be written as:
%2864%5E2%29%5E%281%2F3%29 That's the cube root of 64 squared. You can square the 64.
64%5E2%29+=+4096 Now take the cube root of 4096.
4096%5E%281%2F3%29 = 16
So: 64%5E%282%2F3%29+=+16
Or you can do it this way:
64%5E%282%2F3%29+=+%2864%5E%281%2F3%29%29%5E2 = 4%5E2+=+16
b) %28-8%29%5E%28-4%2F3%29+=+1%2F%28-8%29%5E%284%2F3%29 = 1%2F%28%28-8%29%5E4%29%5E%281%2F3%29+=+1%2F%284096%29%5E%281%2F3%29 = 1%2F16
or:
1%2F%28-8%29%5E%284%2F3%29+=+1%2F%28%28-8%29%5E%281%2F3%29%29%5E4 = 1%2F%28-2%29%5E4+=+1%2F16