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Class 8 maths · A.11 · Integer exponents

Exponent laws with negative exponents

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

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  1. Write 7⁻⁷ ÷ 7⁻⁸ as a single power of 7. What is the exponent?

    Answer: 1

  2. Write 7⁻⁹ ÷ 7⁻⁸ as a single power of 7. What is the exponent?

    Answer: -1

  3. Write 5⁴ ÷ 5⁻⁵ as a single power of 5. What is the exponent?

    Answer: 9

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

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