Q. 149 - Intermediate Algebra

Question

Simplify ${\left(10p^4\right)}^3{\left(5p^6\right)}^2$

Step-by-Step Solution

Answer

Simplified expression is $25000p^{24}$

Step 1. Given information

${\left(10p^4\right)}^3{\left(5p^6\right)}^2$

Step 2

Here

$$\begin{gathered} {\left(10p^4\right)}^3{\left(5p^6\right)}^2={10}^3\times {\left(p^4\right)}^3\times 5^2\times {\left(p^6\right)}^2 \\ =1000\times p^{4\times 3}\times 25\times p^{6\times 2} \\ =25000\times p^{12}\times p^{12} \\ =25000\times p^{12+12} \\ =25000p^{24} \end{gathered}$$