Decompose Powers into Product

On this page you will find an online generator for decomposing powers into product form. A power will be displayed (e.g., 2³) and your task is to write it as a product (2 × 2 × 2). This exercise is designed for ninth-grade students and helps understand the concept of powers from the opposite perspective.

How the exercise generator works

To create a new exercise, simply:

• look at the power displayed,
• remember how many times you need to multiply the base,
• write the complete product with all factors,
• verify the correctness of your solution with the "Check" button.

After solving an exercise, you can immediately generate the next one and continue practicing.

What is the Powers Decomposition Exercise Generator?}

The powers decomposition exercise generator creates exercises where a power is displayed and students must write it as a product of identical factors. For example: 3³ = 3 × 3 × 3. The exercise can also include negative bases.

Usage}

A power will be displayed, for example (-2)³ or 5². Your task is to fill in the boxes for the decomposition. For each number in the decomposition, determine the sign (+ or -) and the base. For example, for (-2)² fill in: [-] [2] · [-] [2].

Grade/Age Level}

This exercise is taught in different countries in the following grades:}

• Slovakia: 9th Grade
• Czech Republic: 9th Grade
• Germany: 8th Grade (Klasse 8)
• Spain: 8th Grade (2º de ESO)
• USA: 8th Grade
• United Kingdom: 8th Grade (Year 8)