Chapter SH, Problem 7.2.15EP

To determine

The expression in simplified form.

Answer to Problem 7.2.15EP

  $j^9{k}^{16}{m}^4$

Explanation of Solution

Given:

The given expression is:

  $\frac{{\left(j^2{k}^{3}m\right)}^4}{{\left(j{k}^4\right)}^{-1}}$

Calculation:

The expression in a simplified form will be:

  $\begin{array}{l}=\frac{{\left(j^2{k}^{3}m\right)}^4}{{\left(j{k}^4\right)}^{-1}}\\ =\frac{j^8{k}^{12}{m}^4}{j^{-1}{k}^{-4}}\\ =j^{8-\left(-1\right)}{k}^{12-\left(-4\right)}{m}^4\\ =j^9{k}^{16}{m}^4\end{array}$