SOLUTION: simplify (8x)^-7 (8x)^3 8x8x8x8x8x8x8= 2,097152 ^7 is that correct ? if not i need help with the steps

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Question 631395: simplify
(8x)^-7 (8x)^3
8x8x8x8x8x8x8= 2,097152 ^7 is that correct ? if not i need help with the steps
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
Whoa there... x in this case is a variable, not a multiply sign.
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The original thing you need to simplify is:
%28%288x%29%5E-7%29%28%288x%29%5E3%29%29
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You can rewrite anything raised to a negative power as it's inverse raised to the positive power. For example:
%288x%29%5E-7 is the same as 1%2F%288x%29%5E7
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Using this principle, you can rewrite your given expression as:
%288x%29%5E3%2F%288x%29%5E7
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You can now simplify the above by cancelling:
highlight%281%2F%288x%29%5E4%29
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Good Luck,
tutor_paul@yahoo.com