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Mathematics · Grades 8–10

Divide powers of one base

Subtract exponents; the base must not be zero.

Make a worksheet

The key idea

Subtract exponents; the base must not be zero.

aᵐ/aⁿ = aᵐ⁻ⁿ, a ≠ 0

Worked examples

Find n: 9^5 ÷ 9^5 = 9^n.

5 − 5 = 0

0

Find n: 18^8 ÷ 18^8 = 18^n.

8 − 8 = 0

0

Try it yourself

  1. Find n: 17^9 ÷ 17^11 = 17^n.

  2. Find n: 7^3 ÷ 7^2 = 7^n.

Check your understanding

Answers and marking notes
  1. -2

    9 − 11 = -2

  2. 1

    3 − 2 = 1

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.