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Question

Simplify the following.
${[{(\frac{2}{3})}^{2}]}^{3} \times {(\frac{2}{3})}^{2} \div {(\frac{2}{3})}^{8}$ .
$0$
$\frac{2}{3}$
$1$
${\frac{2}{3}}^{2}$

A

1

B

0

C

\frac{2}{3}

D

{\frac{2}{3}}^{2}

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Solution

Verified by Toppr

${[{(\frac{2}{3})}^{2}]}^{3} \times {(\frac{2}{3})}^{2} \div {(\frac{2}{3})}^{8} = {(\frac{2}{3})}^{6 + 2} \div {(\frac{2}{3})}^{8} = {(\frac{2}{3})}^{8} \div {(\frac{2}{3})}^{8} = 1.$

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