${(\frac{2}{3})}^{3} \times {(\frac{5}{7})}^{3}$ is equal to

${((\frac{2}{3}) \times (\frac{5}{7}))}^{9}$

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${((\frac{2}{3}) \times (\frac{5}{7}))}^{6}$

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${((\frac{2}{3}) \times (\frac{5}{7}))}^{3}$

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${((\frac{2}{3}) \times (\frac{5}{7}))}^{0}$

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Solution

The correct option is C
${((\frac{2}{3}) \times (\frac{5}{7}))}^{3}$

It is given to find
${(\frac{2}{3})}^{3} \times {(\frac{5}{7})}^{3}$ is equal to
Note :
For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n.
$a^{m} \times b^{m} = {(a \times b)}^{m}$
So,
${(\frac{2}{3})}^{3} \times {(\frac{5}{7})}^{3} = {((\frac{2}{3}) \times (\frac{5}{7}))}^{3}$
$= {(\frac{10}{21})}^{3}$
Hence, Option C is correct option.

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233×573is equal to

The correct option is C 23×573It is given to find 233×573 is equal to Note :For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n.am×bm=(a×b)m So,233×573=23×573 =10213Hence, Option C is correct option.

${(\frac{2}{3})}^{3} \times {(\frac{5}{7})}^{3}$ is equal to