Question 28

Fill in the blank to make the statement true
${(\frac{6}{13})}^{10} \div {[{(\frac{6}{13})}^{5}]}^{2} =__$

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Solution

Here, ${(\frac{6}{13})}^{10} \div {[{(\frac{6}{13})}^{5}]}^{2} = {(\frac{6}{13})}^{10} \div {(\frac{6}{13})}^{5 \times 2} = {(\frac{6}{13})}^{10} \div {(\frac{6}{13})}^{10} = {(\frac{6}{13})}^{10 - 10} = {(\frac{6}{13})}^{0} ∴ {(\frac{6}{13})}^{10} \div {[{(\frac{6}{13})}^{5}]}^{2} = {(\frac{6}{13})}^{0} = 1$ .

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