SOLUTION: Simplify the cube root of 192a^16b^12. Assume that all variables are positive.

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Question 184640: Simplify the cube root of 192a^16b^12. Assume that all variables are positive.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the cube root of 192a^16b^12.
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192a^16b^12
Break it up into cube and non-cube factors.
= 3*64a^15*a*b^12
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cube rt.(3*64a^15*a*b^12
= cbrt(64a^15b^12) * cbrt(3a)
= 4a^5b^4 * cbrt(3a)
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Cheers,
Stan H.