Question

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

Short answer

The simplified expression is $9d^7$.

Step-by-step solution

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

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