Question

Evaluate $\frac{{\left(36\right)}^{7/2}-{\left(36\right)}^{9/2}}{{36}^{5/2}}$. If the answer is m. Find -m

Answer 1

$\frac{{\left(36\right)}^{7/2}-{\left(36\right)}^{9/2}}{{\left(36\right)}^{5/2}}$

$=\frac{{\left(6^2\right)}^{7/2}-{\left(6^2\right)}^{9/2}}{{\left(6^2\right)}^{5/2}}$

$=\frac{{\left(6\right)}^7-6^9}{6^5}$

$=\frac{6^7[1-6^2]}{6^5}$

$=6^{7-5}[1-6^2]$

$=6^2[1-6^2]$

$=36[1-36]$

$=36[-35]$

$=-1260$