Chapter 11.5, Problem 3MRE

To determine

To calculate:

Given equation.

  $x^{-1}.y^{2/3}$

Answer to Problem 3MRE

Value of $x^{-1}.y^{2/3}$ when $x=-2,y=8$ is $-2$ .

Explanation of Solution

Give information:

  $x=-2,y=8$

Calculation:

Given equation is,

  $x^{-1}.y^{2/3}$

And $x=-2,y=8$

Substitute the $x=-2,y=8$ in the above equation,

  $\begin{array}{l}=x^{-1}.y^{2/3}\\ ={\left(-2\right)}^{-1}.{\left(8\right)}^{2/3}\end{array}$

Simplify,

  $=\left(-0.5\right).\left(4\right)$

Multiply $\left(-0.5\right)$ and $\left(4\right)$

  $=-2$

Therefore, value of $x^{-1}.y^{2/3}$ when $x=-2,y=8$ is $-2$ .