Q. 260 - Intermediate Algebra

Question

In the following exercises , simplify the expression $\left(\frac{1}{5}{f}^8\right)\left(20\hspace{0.17em}{f}^3\right)\hspace{0.17em}$.

Step-by-Step Solution

Answer

The simplified expression is $4f^{11}$.

Step 1. Given Information.

The given expression is $\left(\frac{1}{5}{f}^8\right)\left(20\hspace{0.17em}{f}^3\right)\hspace{0.17em}$.

Step 2. Simplify the given expression.

Simplify the expression $$\begin{gathered} \left(\frac{1}{5}{f}^8\right)\left(20\hspace{0.17em}{f}^3\right)\hspace{0.17em}=\frac{1}{5}·\hspace{0.17em}20f^{8+3} \\ \frac{1}{5}·\hspace{0.17em}20f^{8+3}=4f^{11} \end{gathered}$$