Chapter 4, Problem 2CT

To determine

To write the given expression in exponential form.

Answer to Problem 2CT

  ${\left(ab\right)}^3$

Explanation of Solution

Given information:

The quantity $ab$ cubed.

Concept used:

Exponent properties: If a , b are real numbers and m , n are whole numbers, then

• Product Property: $a^m\cdot a^n=a^{m+n}$
• Power Property: ${\left(a^m\right)}^n=a^{m\cdot n}$
• Product to a Power Property: ${\left(ab\right)}^m=a^m{b}^m$

Calculation:

In order to write the given expression in exponential form, observe that any number cubed is same as the number raised to an exponent of 3.

So the given expression in exponent form can be written as

  $ab\text{ cubed}={\left(ab\right)}^3$

Thus, the given expression in exponential form is ${\left(ab\right)}^3$ .