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Any math experts can simplify this for me thank you I don’t understand

Any math experts can simplify this for me thank you I don’t understand-example-1
User Mayumi
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Answer:


[( \frac{ {a}^( - 2) }{ {b} ^(7) } ) ^( - 3) * ( \frac{9}{ {b}^( - 3) } )] ^( - 1) \\ \\ \\ \frac{1}{[( \frac{ {a}^( - 2) }{ {b} ^(7) } ) ^( - 3) * ( \frac{9}{ {b}^( - 3) } )] ^( 1)} \\ \\ \\ \frac{1}{[ \frac{1}{(\frac{ {a}^( - 2) }{ {b} ^(7) } ) ^( 3)} * ( \frac{9}{ {b}^( - 3) } )] ^( 1)} \\ \\ \\ \frac{1}{[ \frac{1}{(\frac{ \frac{1}{ {a}^(2) } }{ {b} ^(7) } ) ^( 3)} * ( \frac{9}{ \frac{1}{ {b}^(3) } } )] ^( 1)} \\ \\ \\ \frac{1}{[(1 / {( \frac{ \frac{1}{ {a}^(2) } }{ {b}^(7) } }) ^(3)) * (9 / \frac{1}{ {b}^(3) } )]} \\ \\ \\ \frac{1}{(1 * (\frac{ {b}^(7) }{ \frac{1}{ {a}^(2) } } ) ^(3) ) * (9 * \frac{ {b}^(3) }{1}) } \\ \\ \\ \frac{1}{( \frac{ {b}^(7) }{ \frac{1}{ {a}^(2) } } ) ^(3) * 9 {b}^(3) } \\ \\ \\ \frac{1}{ {( {b}^(7) / \frac{1}{ {a}^(2) }) }^(3) * 9 {b}^(3) } \\ \\ \\ \frac{1}{( {b}^(7) * \frac{ {a}^(2) }{1}) ^(3) * 9 {b}^(3) } \\ \\ \\ \frac{1}{ ({b}^(7) {a}^(2) ) ^(3) * 9 {b}^(3) } \\ \\ \\ \frac{1}{ {b}^(21) {a}^(6) * 9 {b}^(3) } \\ \\ \\ = \frac{1}{9 {b}^(24) {a}^(6) }

I hope I helped you^_^

User Eric Su
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