Q. 150 - Intermediate Algebra

Question

Simplify ${\left(4x^3\right)}^3{\left(2x^5\right)}^4$

Step-by-Step Solution

Answer

Simplified expression is$1024x^{29}$

Step 1. Given information

${\left(4x^3\right)}^3{\left(2x^5\right)}^4$

Step 2

Here

$$\begin{gathered} {\left(4x^3\right)}^3{\left(2x^5\right)}^4=4^3\times {\left(x^3\right)}^3\times 2^4\times {\left(x^5\right)}^4 \\ =64\times x^{3\times 3}\times 16\times x^{5\times 4} \\ =1024\times x^9\times x^{20} \\ =1024\times x^{9+20} \\ =1024x^{29} \end{gathered}$$