SOLUTION: Simplify each expression and express answer with positive exponents [(-2x/8x^4)^-2]^-2

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Question 907750: Simplify each expression and express answer with positive exponents
[(-2x/8x^4)^-2]^-2
Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28-2x%2F8x%5E4%29%5E%28-2%29%29%5E%28-2%29

Multiply the two -2 exponents and get a +4 exponent

%28-2x%2F8x%5E4%29%5E4

Divide top and bottom by 2

%28-x%2F4x%5E4%29%5E4

Subtract exponents of x getting x%5E3 in the bottom

%28-1%2F4x%5E3%29%5E4

Give the 4 an exponent of 1:

%28-1%2F%284%5E1x%5E3%29%29%5E4

Multiply the inner exponents 1 and 3 by the outer exponent 4
and %28-1%29%5E4 = 1

1%2F%284%5E4x%5E12%29

1%2F%28256x%5E12%29

Edwin

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
Question 907750
%28%28-2x%2F8x%5E4%29%5E%28-2%29%29%5E%28-2%29

Multiply the two -2 exponents and get a +4 exponent

%28-2x%2F8x%5E4%29%5E4

Divide top and bottom by 2

%28-x%2F4x%5E4%29%5E4

Subtract exponents of x getting x%5E3 in the bottom

%28-1%2F4x%5E3%29%5E4

Give the 4 an exponent of 1:

%28-1%2F%284%5E1x%5E3%29%29%5E4

Multiply the inner exponents 1 and 3 by the outer exponent 4
and %28-1%29%5E4 = 1

1%2F%284%5E4x%5E12%29

1%2F%28256x%5E12%29

Edwin