SOLUTION: Please help me answer the following question: write the expression below using a single index, √((x^16*x^(-4))/(x^(1/3)* ∛(x^5 )))

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Question 1115091: Please help me answer the following question:
write the expression below using a single index,
√((x^16*x^(-4))/(x^(1/3)* ∛(x^5 )))
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
write the expression below using a single index,
sqrt%28x%5E16%2Ax%5E-4%29%2F%28x%5E%281%2F3%29%2Aroot%283%2Cx%5E5%29%29
=
sqrt%28x%5E12%29%2F%28x%5E%281%2F3%29%2Aroot%283%2Cx%5E5%29%29
x^(1/3) = cube root of x
= sqrt%28x%5E12%29%2F%28root%283%2Cx%5E6%29%29
= x%5E6%2Fx%5E2%29
= x^4