# Solve for: (1.98 * 3.14)^2/8.85

## Expression: ${\left( 1.98 \times 3.14 \right)}^{2}\div8.85$

To raise a product to a power, raise each factor to that power

${1.98}^{2} \times {3.14}^{2}\div8.85$

Convert the decimal into a fraction

${1.98}^{2} \times {3.14}^{2}\div\frac{ 177 }{ 20 }$

Convert the decimal into a fraction

${\left( \frac{ 99 }{ 50 } \right)}^{2} \times {3.14}^{2}\div\frac{ 177 }{ 20 }$

Convert the decimal into a fraction

${\left( \frac{ 99 }{ 50 } \right)}^{2} \times {\left( \frac{ 157 }{ 50 } \right)}^{2}\div\frac{ 177 }{ 20 }$

To divide by a fraction, multiply by the reciprocal of that fraction

${\left( \frac{ 99 }{ 50 } \right)}^{2} \times {\left( \frac{ 157 }{ 50 } \right)}^{2} \times \frac{ 20 }{ 177 }$

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

$\frac{ 9801 }{ 2500 } \times {\left( \frac{ 157 }{ 50 } \right)}^{2} \times \frac{ 20 }{ 177 }$

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

$\frac{ 9801 }{ 2500 } \times \frac{ 24649 }{ 2500 } \times \frac{ 20 }{ 177 }$

Cancel out the greatest common factor $20$

$\frac{ 9801 }{ 125 } \times \frac{ 24649 }{ 2500 } \times \frac{ 1 }{ 177 }$

Cancel out the greatest common factor $3$

$\frac{ 3267 }{ 125 } \times \frac{ 24649 }{ 2500 } \times \frac{ 1 }{ 59 }$

Multiply the fractions

\begin{align*}&\frac{ 80528283 }{ 18437500 } \\&\begin{array} { l }4 \frac{ 6778283 }{ 18437500 },& \approx4.36764\end{array}\end{align*}

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