Q9. - Algebra 1

Question

Simplify each expression. Assume that no denominator equals 0.

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

Step-by-Step Solution

Answer

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

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.