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Year 9 maths · A.8 · Integer exponents

Quotient rule for exponents: find the exponent

Same base: add the exponents when multiplying, subtract when dividing, multiply when raising a power to a power.

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  1. Write 2⁷ ÷ 2⁷ as a single power of 2. What is the exponent?

    Answer: 0

  2. Write 3⁷ ÷ 3⁵ as a single power of 3. What is the exponent?

    Answer: 2

  3. Write 10⁸ ÷ 10⁵ as a single power of 10. What is the exponent?

    Answer: 3

Tip: Same base: add the exponents when multiplying, subtract when dividing, multiply when raising a power to a power.

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