Solve for: ((5)/(12))^{-2} * ((4)/(5))^{-2}

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  3. Solve for: ((5)/(12))^{-2} * ((4)/(5))^{-2}

Expression: ${\left( \frac{ 5 }{ 12 } \right)}^{-2} \times {\left( \frac{ 4 }{ 5 } \right)}^{-2}$

Multiply the terms with equal exponents by multiplying their bases

${\left( \frac{ 5 }{ 12 } \times \frac{ 4 }{ 5 } \right)}^{-2}$

Cancel out the greatest common factor $5$

${\left( \frac{ 1 }{ 12 } \times 4 \right)}^{-2}$

Cancel out the greatest common factor $4$

${\left( \frac{ 1 }{ 3 } \right)}^{-2}$

Express with a positive exponent using ${\left( \frac{ 1 }{ a } \right)}^{-n}={a}^{n}$

${3}^{2}$

Evaluate the power

$9$

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