Q. 141. - Intermediate Algebra

Question

In the following exercises, simplify each expression.

${\left(10x^{2}y\right)}^3$

Step-by-Step Solution

Answer

The simplified form of the given expression is$1000x^6{y}^3$.

Step 1. Given information.

The given expression is${\left(10x^{2}y\right)}^3$.

Step 2. Simplify the given expression.

Calculation of expression using product property, 

$$\begin{gathered} {\left(10x^{2}y\right)}^3 = {\left(10\right)}^3·{\left(x^2\right)}^3·{\left(y\right)}^3 \\ = 1000·{\left(x^2\right)}^3·y^3 \end{gathered}$$

Now, We use power property,

$$\begin{gathered} 1000·{\left(x^2\right)}^3·y^3 = 1000x^{2·3}{y}^3 \\ = 1000x^6{y}^3 \end{gathered}$$

Therefore, the simplified form of the given expression is$1000x^6{y}^3$