Chapter 4.3, Problem 55IP

To determine

To find: theproduct of expression.

Answer to Problem 55IP

The product of the expression is $8a^3{b}^{10}$ .

Explanation of Solution

Given information:

Aexpression is $a{b}^5·8a^2{b}^5$ .

Calculation : to find the product, use theproduct of power property and then simplify the exponents,

  $\begin{array}{l}a{b}^5·8a^2{b}^5=8a^{1+2}{b}^{5+5}\text{ [}{a}^m·a^n=a^{m+n}]\\ a{b}^5·8a^2{b}^5=8a^3{b}^{10}\text{ [simplify the exponents]}\end{array}$

The quotient of expression is $8a^3{b}^{10}$ .