smithgame223 smithgame223
  • 03-07-2019
  • Mathematics
contestada

Consider the equation (x^m)=(x^13)^5 x(x^-8)^-5

The value of m is

A. 15

B. 28

C. 35

D. 70

Respuesta :

gmany
gmany gmany
  • 06-07-2019

Answer:

m = 106

Step-by-step explanation:

[tex]x^m=(x^{13})^5x(x^{-8})^{-5}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\x^m=(x^{(13)(5)})x(x^{(-8)(-5)})\\\\x^m=(x^{65})x^1(x^{40})\qquad\text{use} \ a^na^m=a^{n+m}\\\\x^m=x^{65+1+40}\\\\x^m=x^{106}\Rightarrow m=106[/tex]

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