Question 30

Fill in the blank to make the statement true
${(\frac{13}{14})}^{5} \div__= {(\frac{13}{14})}^{3}$

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Solution

Let ${(\frac{13}{14})}^{5} \div x = {(\frac{13}{14})}^{3}$
$\Rightarrow x = \frac{{(\frac{13}{14})}^{5}}{{(\frac{13}{14})}^{3}} \Rightarrow x = {(\frac{13}{14})}^{5 - 3} \Rightarrow x = {(\frac{13}{14})}^{2}$

Hence, ${(\frac{13}{14})}^{5} \div {(\frac{13}{14})}^{2} = {(\frac{13}{14})}^{3}$

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