Q. 148. - Intermediate Algebra

Question

Simplify the expression ${\left(5r^2\right)}^3{\left(3r\right)}^2$

Step-by-Step Solution

Answer

The simplified form of the given expression is $1125r^8$.

Step 1. Given information.

The given expression is, ${\left(5r^2\right)}^3{\left(3r\right)}^2$

Step 2. Using power of product property,

$$\begin{gathered} {\left(5r^2\right)}^3{\left(3r\right)}^2={\left(5\right)}^3{\left(r^2\right)}^3{\left(3\right)}^2{\left(r\right)}^2 \\ =125\times r^6\times 9\times r^2 \\ by u\sin g product property, \\ =1125r^8 \end{gathered}$$