Question

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

Answer 1

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

so



`5^x= (1)/(125)`
remember that
`x^(-m)= (1)/(x^m)`
so

`(1)/(125)= (1)/(5^3)=5^(-3)`

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

Answer 2

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