Q30. - Algebra 2

Question

Simplify $2x^2\left(6y^3\right)\left(2x^{2}y\right)$  assuming that no variable equal to 0 .

Step-by-Step Solution

Answer

The simplified value of expression is $24x^4{y}^4$ .

Step 1. Write down the given expression.

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

Step 2. Simplify the given expression.

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

$\begin{array}{c}2x^2\left(6y^3\right)\left(2x^{2}y\right)=(2\times 6\times 2)x^2\left(y^3\right)\left(x^{2}y\right)\\ =24{\left(x\right)}^2\left(y^3\right)\left(x^{2}y\right)\\ =24{\left(x\right)}^{2+2}{\left(y\right)}^{3+1}\mathrm{....}(\text{Using }{x}^a\times x^b=x^{a+b})\\ =24x^4{y}^4\end{array}$

Step 3. Conclusion.

The simplified value of expression is $24x^4{y}^4$ .