Calculate: ((4)/(5))^2 * ((3)/(4))^2

Expression: ${\left( \frac{ 4 }{ 5 } \right)}^{2} \times {\left( \frac{ 3 }{ 4 } \right)}^{2}$

Multiply the terms with equal exponents by multiplying their bases

${\left( \frac{ 4 }{ 5 } \times \frac{ 3 }{ 4 } \right)}^{2}$

Cancel out the greatest common factor $4$

${\left( \frac{ 1 }{ 5 } \times 3 \right)}^{2}$

Calculate the product

${\left( \frac{ 3 }{ 5 } \right)}^{2}$

To raise a fraction to a power, raise the numerator and denominator to that power

$\begin{align*}&\frac{ 9 }{ 25 } \\&\begin{array} { l }0.36,& {\left( \frac{ 3 }{ 5 } \right)}^{2}\end{array}\end{align*}$