Powers Simplification

Simplifying powers

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Tip: Count how many times each number appears, then write it in power notation. Separate multiple powers with a dot (·), space, or comma.

On this page you will find an online generator for powers simplification exercises. A product of mixed numbers will be displayed (e.g., 5·5·5·4·5·4) and your task is to simplify it by writing it in power notation with multiple bases (5^4·4^2). This exercise is designed for eighth-grade students and helps develop understanding of powers and number simplification.

How the exercise generator works

To create a new exercise, simply:

  • look at the product of mixed numbers displayed,
  • identify which numbers are repeated and how many times,
  • write the simplified form using power notation for each base,
  • 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 Simplification Exercise Generator?}

The powers simplification exercise generator creates exercises where a product of mixed numbers is displayed and students must simplify it using power notation for each base. For example: 2·2·3·2·3 = 2^3·3^2.

Usage}

A product of mixed numbers will be displayed. For example 5·5·5·4·5·4. You must identify which numbers repeat and write the result using power notation. Separate multiple powers with a dot, space, or comma. For example: 5^4·4^2 or 5^4 4^2 or 5^4, 4^2. Verify your answer with the "Check" button.

Grade/Age Level}

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

  • Slovakia: 8th Grade
  • Czech Republic: 8th Grade
  • Germany: 7th Grade (Klasse 7)
  • USA: 7th Grade