Q. 138. - Intermediate Algebra

Question

In the following exercises, simplify each expression.

${\left(b^7\right)}^5·{\left(b^2\right)}^6$

Step-by-Step Solution

Answer

The simplified form of the given expression is $b^{47}$

Step 1. Given information.

The given expression is ${\left(b^7\right)}^5·{\left(b^2\right)}^6$.

Step 2. Calculation and simplification.

Calculation of expression using power property, $b^{7.5}·b^{2.6} = b^{35}·b^{12}$

Use the  Product property.

$$\begin{gathered} b^{35}.b^{12} = b^{35+12} \\ = b^{47} \end{gathered}$$

Therefore, the simplified form of the given expression is $b^{47}$