Chapter 11.1, Problem 51CCR

To determine

To find: Evaluate each expression.

Answer to Problem 51CCR

  $2z^3÷\left(4y\right)=-27$

Explanation of Solution

Given information:

  $2z^3÷\left(4y\right)$

  $\begin{array}{l}y=-4\\ z=6\end{array}$

  $2z^3÷\left(4y\right)$

On substituting

  $\begin{array}{l}y=-4\\ z=6\end{array}$

On solving

We get

  $\begin{array}{l}2z^3÷\left(4y\right)=\frac{2z^3}{4y}\\ \Rightarrow 2z^3÷\left(4y\right)=\frac{2\left(6^3\right)}{4\left(-4\right)}\\ \Rightarrow 2z^3÷\left(4y\right)=\frac{2\left(216\right)}{-16}\\ \Rightarrow 2z^3÷\left(4y\right)=\frac{432}{-16}\\ \Rightarrow 2z^3÷\left(4y\right)=-27\end{array}$

Therefore,

  $2z^3÷\left(4y\right)=-27$