SOLUTION: I need help with the following equation: {{{-12a^5b^-2/4a^-3b^7}}}^-3 I am just confused as to what to do with the base. Do I raise the base to the 3rd root, or just multiply it?

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: I need help with the following equation: {{{-12a^5b^-2/4a^-3b^7}}}^-3 I am just confused as to what to do with the base. Do I raise the base to the 3rd root, or just multiply it?       Log On


   



Question 83299: I need help with the following equation:
-12a%5E5b%5E-2%2F4a%5E-3b%5E7^-3 I am just confused as to what to do with the base. Do I raise the base to the 3rd root, or just multiply it? Thanks.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
[(-12a^5b^-2) / (4a^-3b^7)]^-3
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=[-3a^8/b^9)]^-3
Comment: The 3 in the exponent means we should cube each factor; the negative
means we should invert the result.
=[-b^27/27a^24]
==============
Cheers,
Stan H.