SOLUTION: Simplify the expression. Write your answer using only positive exponents. (4g)^-3

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Question 648536: Simplify the expression. Write your answer using only positive exponents.
(4g)^-3
Found 2 solutions by lynnlo, swincher4391:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Think of %284g%29%5E-3++=+%284g%29%5E%280-3%29
Since n%5E%28a-b%29+=++n%5Ea+%2F+n%5Eb, then:
%284g%29%5E%28-3%29+=+%284g%29%5E%280-3%29+=+%284g%29%5E0%2F%284g%29%5E3+=+1%2F%284g%29%5E3
In general, +n%5E%28-a%29+=+1%2Fn%5Ea.
We can simplify the denominator
1%2F%284g%29%5E3+=++1%2F%284%5E3+%2Ag%5E3%29+=++1%2F64g%5E3