Question

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

Short answer

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

Step-by-step solution

Step 1. Given information.

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

Step 2. Using power of product property,

$$\begin{gathered} {\left(5r^2\right)}^3{\left(3r\right)}^2={\left(5\right)}^3{\left(r^2\right)}^3{\left(3\right)}^2{\left(r\right)}^2 \\ =125\times r^6\times 9\times r^2 \\ byu\sin gproductproperty, \\ =1125r^8 \end{gathered}$$