Question

Simplify the expression (x^25)^-6/(x^-3)^48
The power of x in the simplified expression is
-2
-6
-23
-26

Answer 1

Answer:

-6

Step-by-step explanation:

$Use\\\\(a^n)^m=a^{nm}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\------------------\\\\\dfrac{(x^{25})^{-6}}{(x^{-3})^{48}}=\dfrac{x^{(25)(-6)}}{x^{(-3)(48)}}=\dfrac{x^{-150}}{x^{-144}}=x^{-150-(-144)}=x^{-150+144}=x^{-6}$