What is the simplified form of 72x^16/50x^36? Assume x ≠ 0.

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)

Respuesta :

Given
[tex] \frac{72x^{16}}{50x^{36}} [/tex]

This can be simplified as follows:
[tex]\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}} [/tex]

Option A is the correct answer.

Answer:

option A

Step-by-step explanation: