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xxMikexx [17]
3 years ago
8

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

Mathematics
2 answers:
Allisa [31]3 years ago
5 0
1/125 would mean x is negative. -5 x -5 x -5 = -125 Meaning x = -3
Andrews [41]3 years ago
4 0
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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