Vocabulary

Monomial - An expression in algebra that contains one term, like 3a.

Power – It is the product of multiplying a number by itself. Usually, a power is represented with a base number and an exponent.

Exponent - A small number written above and to the right of the base number, tells how many times the base number is being multiplied.

Base - A number that tells what number is being multiplied.

Concept

Write the multiplication expression as a power of a power.

Rules

Find the number of times each base occurs. Write each base with the number of factors as the exponent. 

Example

Write the multiplication as a power of a power.

(a)² ∙ (a)² ∙ (a)² ∙ (a)²

Solution

Multiplying the same factor 4 times is represented with an exponent of 4. The repeated factor is (a²), so it needs an exponent of 4 outside the parentheses. 

(a)² ∙ (a)² ∙ (a)² ∙ (a)² = (a²)⁴

Pre-requisite Skills

Multiply and Divide Monomials (8.1.3)

Powers & Exponents (8.1.2)

Write Exponents (6.1.4)