Question

use one exponent to condense the expression below. then compute and/or simplify.

$-2ab \cdot -2ab \cdot -2ab$

answer attempt 1 out of 2

type the base, then use the $a^b$ button or type the ^ symbol on your keyboard for the exponent.
condensed form: $\square$ $a^b$

answer: $\square$ $a^b$

Explanation:

Step1: Identify the base and count repetitions

The expression is \(-2ab\) multiplied by itself 3 times. So we can write it using an exponent as \((-2ab)^3\).

Step2: Expand the exponentiated form

Using the power of a product rule \((xy)^n = x^n y^n\), we have \((-2ab)^3 = (-2)^3 \cdot a^3 \cdot b^3\).

Step3: Calculate \((-2)^3\)

\((-2)^3 = -2 \times -2 \times -2 = -8\).

Step4: Combine the terms

So \((-2ab)^3 = -8a^3b^3\).

Answer:

Condensed Form: \(-2ab\) (with exponent \(3\), so \((-2ab)^3\))