Chapter 7.2, Problem 48PPS

To determine

To simplify the given expression.

Answer to Problem 48PPS

  $\frac{3w{y}^{-2}}{{\left(w^{-1}y\right)}^3}=\frac{3w^4}{y^5}$

Explanation of Solution

Given:

  $\frac{3w{y}^{-2}}{{\left(w^{-1}y\right)}^3}$

Calculation:

  $\begin{array}{l}\frac{3w{y}^{-2}}{{\left(w^{-1}y\right)}^3}=\frac{3w{y}^{-2}}{{\left(w^{-1}\right)}^3{\left(y\right)}^3}\\ =\frac{3w{y}^{-2}}{w^{-3}{y}^3}\\ =\frac{3w{w}^3}{y^3{y}^2}\\ =\frac{3w^{1+3}}{y^{3+2}}\\ =\frac{3w^4}{y^5}\end{array}$