Cameron27walker Cameron27walker

13-02-2017
Mathematics

Answered

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

Verified Answer :

RetroPotato RetroPotato

13-02-2017

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

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apologiabiology apologiabiology

13-02-2017

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

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