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4 years ago

8

rac{1}{5} ) {}^{x} = 125" alt="( \frac{1}{5} ) {}^{x} = 125" align="absmiddle" class="latex-formula">

1 answer:

anzhelika [568]4 years ago

8 0

Well we know that... $a^{-1}=\frac{1}{a^{1} }\\$ .

So... $(\frac{1}{5})^{-1}=\frac{1}{\frac{1}{5}^{1}}=5\\\\$ .

Because $5^{3}=125$ ,

$\frac{1}{5}^{-1*3}=125\\ x=-1*3=-3$

answer: -3

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