Question

Simplify each expression. Assume that no denominator equals 0.

$\frac{{\mathbf{p}}^{\mathbf{4}}{\mathbf{t}}^{\mathbf{-}\mathbf{2}}}{{\mathbf{r}}^{\mathbf{-}\mathbf{5}}}$

Short answer

The required expression is represented by$\frac{{\mathbf{p}}^{\mathbf{4}}{\mathbf{r}}^{\mathbf{5}}}{{\mathbf{t}}^{\mathbf{2}}}$.

Step-by-step solution

Step 1. Determine the identity that can be used.

The identity represented by$a^{-n}=\frac{1}{a^n}$ will convert the negative exponents into positive.

Step 2. Use the obtained identity.

Take the help of the identity $a^{-n}=\frac{1}{a^n}$for the negative exponents.

$\frac{p^4{r}^5}{t^2}$

Step 3. Write the conclusion.

The obtained expression is$\frac{p^4{r}^5}{t^2}$ which cannot be simplified further so it’s the required simplification.