Math, asked by itsdaanu, 3 months ago

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

explain step by step plz ​

Answers

Answered by shreekrishna35pdv8u8
2

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} }

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