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Fractional Exponent

Simplify: 2...

Question

Simplify:
${(\frac{2}{3})}^{8} \times {(\frac{6}{4})}^{3}$

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Solution

${(\frac{2}{3})}^{8} \times {(\frac{6}{4})}^{3}$
$= {(\frac{2}{3})}^{8} \times {(\frac{3}{2})}^{3}$
$= {(\frac{2}{3})}^{8} \times {(\frac{2}{3})}^{- 3}$
$= {(\frac{2}{3})}^{(8 - 3)}$
$= {(\frac{2}{3})}^{5}$
$= \frac{32}{243}$

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