Question

Simplify${\left(\frac{6x^2{y}^4}{3x^4{y}^3}\right)}^3$ assuming that no variable equal to0.

Short answer

The simplified value of expression is $8x^{-6}{y}^3$.

Step-by-step solution

Step 1. Write down the given expression.

The given expressiomn to simplify is ${\left(\frac{6x^2{y}^4}{3x^4{y}^3}\right)}^3$.

Step 2. Simplify the given expression.

Simplifying ${\left(\frac{6x^2{y}^4}{3x^4{y}^3}\right)}^3$ gives,

$\begin{array}{c}{\left(\frac{6x^2{y}^4}{3x^4{y}^3}\right)}^3={\left(2x^{2-4}{y}^{4-3}\right)}^3\mathrm{....}(\text{Using}\frac{{\left(x\right)}^a}{{\left(x\right)}^b}=x^{a-b})\\ ={\left(2x^{-2}{y}^1\right)}^3\\ =8x^{-6}{y}^3\end{array}$

Step 3. Conclusion.

The simplified value of expression is $8x^{-6}{y}^3$.