Question

5 to the power of x equals 1 over 125. Simplify answer.

Answer 1

1/125 would mean x is negative. -5 x -5 x -5 = -125 Meaning x = -3

Answer 2

If aⁿ=aˣ, wher a=a, then assume that n=x

so


$5^x= \frac{1}{125}$
remember that $x^{-m}= \frac{1}{x^m}$
so
$\frac{1}{125}= \frac{1}{5^3}=5^{-3}$

5^x=5^-3
x=-3