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Class 8 maths · A.9 · Integer exponents

Power of a power: 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 (3⁵)⁵ as a single power of 3. What is the exponent?

    Answer: 25

  2. Write (5²)³ as a single power of 5. What is the exponent?

    Answer: 6

  3. Write (7³)³ as a single power of 7. 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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