Question

(a/b)=(9/7)^-3 ÷ (3/7)^1 , then find the value of (a/b)^2

explain step by step plz ​

Answer 1

Answer:

$\frac{a}{b} = ( { \frac{9}{7} } )^{ - 3} \div { \frac{3}{7} }^{1} \\ \frac{a}{b} = ({ \frac{7}{9} })^{3} \times \frac{7}{3} \\ ( \frac{a}{b} )^{2} = (\frac{ {7}^{3 + 1} }{ {9}^{3} \times 3 } ) ^{2} \\ ( \frac{a}{b} )^{2} = (\frac{ {7}^{4} }{ {3}^{2 \times 3} \times 3} )^{2} \\ ( \frac{a}{b} )^{2} = \frac{ {7}^{4 \times 2} }{( {3}^{6 + 1}) ^{2} } \\ ( \frac{a}{b} )^{2} = \frac{ {7}^{4} }{ {3}^{7 \times 2} } \\ ( \frac{a}{b} )^{2} = \frac{ {7}^{4} }{ {3}^{14} }$