Skill: Write repeated multiplication using exponent notation

Explanation and Free Practice Resources

Repeated multiplication of the same factor is represented compactly by a power: the base identifies the repeated factor, and the whole-number exponent counts how many times it is used as a factor, as in 5×5×5=535 \times 5 \times 5=5^3. The notation preserves the distinction between the base and exponent, including parentheses for negative bases; negative and fractional exponents, and more advanced exponent laws, are not included.

Detailed Explanation: Write repeated multiplication using exponent notation

When the same factor is multiplied by itself repeatedly, write it as a power:

  • The repeated factor is the base.
  • The number of times it appears is the exponent.

Example

Rewrite:

(−2)×(−2)×(−2)(-2)\times(-2)\times(-2)

Step 1: Identify the repeated factor.
The factor being repeated is −2-2, so the base is (−2)(-2).

Step 2: Count how many times it appears.
There are three factors of −2-2, so the exponent is 33.

Step 3: Write the power.

(−2)×(−2)×(−2)=(−2)3(-2)\times(-2)\times(-2)=(-2)^3

The parentheses show that the entire number −2-2 is the base.

Learn by doing: Write repeated multiplication using exponent notation

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Your results

Practice with unlimited practice problems

Exponents - Simplified Form


    ?

    Download/Modify Free Grade 7 'Write repeated multiplication using exponent notation' Worksheet

    Print this free 'Write repeated multiplication using exponent notation' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.

    Units Teaching This Skill

    These adaptive units introduce, teach, or reinforce this skill (Write repeated multiplication using exponent notation) through scaffolded problems that grow in difficulty as concepts are understood.

    Explore More Grade 7 Math