How do you simplify ${(\frac{5}{8})}^{2}$ $(5/8)^2$ leaving only positive exponents?

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How do you simplify ${(\frac{5}{8})}^{2}$ $(5/8)^2$ leaving only positive exponents?

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Answer 1 · 2016-07-31T16:47:46

It's already simplified up to positive exponents.

Explanation:

The only further simplification I could think of, would be a prime decomposition:
$\frac{5}{8} = \frac{5}{2^{3}}$ $5/8=5/(2^3)$
And then,
${(\frac{5}{8})}^{2} = {(\frac{5}{2^{3}})}^{2} = \frac{5^{2}}{2^{6}}$ $(5/8)^2=(5/(2^3))^2=5^2/2^6$

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How do you simplify ${(\frac{5}{8})}^{2}$ $(5/8)^2$ leaving only positive exponents?

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