Question

if p/q=(2/3)^3÷(1/3)^0, find the value of (p/q)^2​

Answer 1

Hello mate :)

Good morning !!

$\tt \: I f \: \red{ \frac{p}{q} }= \red{ \bigg(\frac{2}{3} \bigg)^{3} \div \bigg ( \frac{1}{3} \bigg) ^{0}} \: \tt find \: the \: value \: of \: \red{ \bigg(\frac{p}{q} \bigg)^{2} } \\ \\ \implies \tt \frac{8}{27} \div \frac{1}{1} \: \: [ \:as \: we \: know ,( {x}^{0} = 1 )] \\ \\ \therefore \tt \red{ \frac{p}{q} } = \frac{8}{27} \times \frac{1}{1} = \frac{8}{27} \\ \\ \tt \: now, \\ \tt \bigg( \frac{p}{q} \bigg)^{2} = \bigg(\frac{8}{27} \bigg)^{2} = \frac{64}{729}$

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So, Your Answer will be 64/729

Hope this helps :)

Have a great day ahead !!