What is the simplified form of ? assume x ≠ 0.

Asked by wiki @ in Mathematics viewed by 586 People

A: 6/5x^10

B: 6/5x^2

C: 6/5 x^10

D: 6/5 x^2

(pretend it's in fraction form, also for the last two the x^10, and x^2, goes in between the 6 and 5)

Answered by wiki @

Given
\frac{72x^{16}}{50x^{36}}

This can be simplified as follows:
\frac{72x^{16}}{50x^{36}}= \frac{36x^{16}}{25x^{36}} \\ \\ = \frac{ \sqrt{36x^{16}} }{ \sqrt{25x^{36}} } = \frac{6x^8}{5x^{18}} \\ \\ = \frac{6}{5} x^{8-18}= \frac{6}{5} x^{-10} \\ \\ = \frac{6}{5x^{10}}

Option A is the correct answer.

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