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Mathematics · Grades 8–10

Multiply powers of one base

Add exponents only when multiplying the same base.

Make a worksheet

The key idea

Add exponents only when multiplying the same base.

aᵐ × aⁿ = aᵐ⁺ⁿ

Worked examples

Find n: 10^10 × 10^3 = 10^n.

10 + 3 = 13

13

Find n: 11^9 × 11^2 = 11^n.

9 + 2 = 11

11

Try it yourself

  1. Find n: 2^3 × 2^9 = 2^n.

  2. Find n: 7^9 × 7^4 = 7^n.

Check your understanding

Answers and marking notes
  1. 12

    3 + 9 = 12

  2. 13

    9 + 4 = 13

Further reading and review references

These are reference links, not copied exercises, institutional endorsement or proof of independent review.

Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.