Chapter 7.2, Problem 33PPS

To determine

To Simplify: The Given expression

  $\frac{p^4{t}^{-3}}{r^{-2}}$

Answer to Problem 33PPS

The simplified expression is $\frac{p^4{r}^2}{t^3}$ .

Explanation of Solution

Given information:

  $\frac{p^4{t}^{-3}}{r^{-2}}$

Concept Used:

Negative Exponent Property: $a^{-n}$ is the reciprocal of $a^n$ , where a is a non-zero number and n is an integer.

  $a^{-n}=\frac{1}{a^n}$

Calculation:

  $\frac{p^4{t}^{-3}}{r^{-2}}$

  $=p^4\left(\frac{1}{t^3}\right)\left(r^2\right)$

Using the Negative Exponent property.

  $=\frac{p^4{r}^2}{t^3}$