Evaluate: (26299 * 10^6)/(0.9 * 1000 * 123.5^2)

Expression: $\frac{ 26299 \times {10}^{6} }{ 0.9 \times 1000 \times {123.5}^{2} }$

Convert the decimal into a fraction

$\frac{ 26299 \times {10}^{6} }{ \frac{ 9 }{ 10 } \times 1000 \times {123.5}^{2} }$

Write the number in exponential form with the base of $10$

$\frac{ 26299 \times {10}^{6} }{ \frac{ 9 }{ 10 } \times {10}^{3} \times {123.5}^{2} }$

Convert the decimal into a fraction

$\frac{ 26299 \times {10}^{6} }{ \frac{ 9 }{ 10 } \times {10}^{3} \times {\left( \frac{ 247 }{ 2 } \right)}^{2} }$

Simplify the expression

$\frac{ 26299 \times {10}^{3} }{ \frac{ 9 }{ 10 } \times {\left( \frac{ 247 }{ 2 } \right)}^{2} }$

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

$\frac{ 26299 \times {10}^{3} }{ \frac{ 9 }{ 10 } \times \frac{ 61009 }{ 4 } }$

Multiply the fractions

$\frac{ 26299 \times {10}^{3} }{ \frac{ 549081 }{ 40 } }$

Simplify the complex fraction

$\frac{ 80920 \times {10}^{3} }{ 42237 }$

Evaluate the power

$\frac{ 80920 \times 1000 }{ 42237 }$

Multiply the numbers

$\begin{align*}&\frac{ 80920000 }{ 42237 } \\&\begin{array} { l }1915 \frac{ 36145 }{ 42237 },& \approx1915.85577\end{array}\end{align*}$