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Please solve this its argent​

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Question :-

if \: ( \frac{p}{q}) = ( \frac{ - 4}{9})^{20} \div ( \frac{ - 4}{9}) ^{18}, \\ \\ find \: \: the \: \: value \: \: of \: ( \frac{p}{q})^{2} .

SOLUTION :-

if \: ( \frac{p}{q}) = ( \frac{ - 4}{9})^{20} \div ( \frac{ - 4}{9}) ^{18} \\ \\ ⟹ ( \frac{ - 4}{9}^{20} ) \div ( \frac{ - 4}{9})^{18} \\ \\ ⟹ ( \frac{ - 4}{9})^{20 - 18} \\ \\ ⟹ ( \frac{ - 4}{9})^{2}

now \: \: the \: \: value \: \: of \: ( \frac{p}{q} )^{2} \\ \ ⟹ (\frac{ - 4}{9})^{2} \ \\ \\ ⟹ \frac{16}{81}


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