Solve for: (413225.85-(\frac{1461.7)/(13))^2}{13-1}

Expression: $\frac{413225.85-(\frac{1461.7}{13})^{2}}{13-1}$

Subtract the numbers: $ 13-1=12$

$=\frac{413225.85-(\frac{1461.7}{13})^{2}}{12}$

Apply exponent rule $(\frac{a}{b})^{c}=\frac{a^{c}}{b^{c}}$

$=\frac{413225.85-\frac{1461.7^{2}}{13^{2}}}{12}$

$\frac{1461.7^{2}}{13^{2}}=\frac{2136566.89}{169}$

$=\frac{413225.85-\frac{2136566.89}{169}}{12}$

Divide the numbers: $ \frac{2136566.89}{169}=12642.40763…$

$=\frac{413225.85-12642.40763…}{12}$

Subtract the numbers: $ 413225.85-12642.40763…=400583.44236…$

$=\frac{400583.44236…}{12}$

Divide the numbers: $ \frac{400583.44236…}{12}=33381.95353…$

$=33381.95353…$