Question

Simplify$\frac{{\left(2x^2\right)}^3}{12x^4}$ ?

Short answer

The simplified value of expression$\frac{{\left(2x^2\right)}^3}{12x^4}=\frac{2x^2}{3}$.

Step-by-step solution

Step 1. Write down the given information.

The given expression is $\frac{{\left(2x^2\right)}^3}{12x^4}$.

Step 2. Calculation.

Simplifying the given expression $\frac{{\left(2x^2\right)}^3}{12x^4}$.

$\begin{array}{c}\frac{{\left(2x^2\right)}^3}{12x^4}=\frac{{\left(2\right)}^3{\left(x^2\right)}^3}{12x^4}\\ =\frac{8x^6}{12x^4}\\ =\frac{8x^{6-4}}{12}\\ =\frac{2x^2}{3}\end{array}$

Step 3. Conclusion.

The simplified value of expression $\frac{{\left(2x^2\right)}^3}{12x^4}=\frac{2x^2}{3}$.