Q. 146. - Intermediate Algebra

Question

Simplify ${\left(\frac{7}{9}p{q}^4\right)}^2$

Step-by-Step Solution

Answer

The simplified form of the given expression is $\frac{49}{81}{p}^2{q}^8$

Step 1. Given information.

The given expression is ${\left(\frac{7}{9}p{q}^4\right)}^2$.

Step 2. Using the power of product property.

According to Power of product property,

${\left(ab\right)}^m=a^m{b}^m$

Apply this property,

$$\begin{gathered} {\left(\frac{7}{9}p{q}^4\right)}^2={\left(\frac{7}{9}\right)}^2{\left(p\right)}^2{\left(q^4\right)}^2 \\ =\frac{49}{81}{p}^2{q}^8 \end{gathered}$$