Q. 261 - Intermediate Algebra

Question

In the following exercises , simplify the expression $\left(\frac{1}{4}{d}^5\right)\left(36d^2\right)$ .

Step-by-Step Solution

Answer

The simplified expression is $9d^7$.

Step 1. Given Information .

The given expression is $\left(\frac{1}{4}{d}^5\right)\left(36d^2\right)$.

Step 2. Simplify the given expression.

Simplify the expression $\left(\frac{1}{4}{d}^5\right)\left(36d^2\right)$

$\begin{array}{rcl}\frac{1}{4}·\hspace{0.17em}36d^{5+2}& =& \frac{1}{4}·\hspace{0.17em}36d^7\\ \frac{1}{4}·\hspace{0.17em}36d^7& =& 9d^7\end{array}$