AQA · Mathematics · 8300

GCSE Maths: Indices: laws of

Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Indices: laws of (Corbettmaths Video 174), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.

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  1. When multiplying powers with the same base, ? the exponents.

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    add

  2. When dividing powers with the same base, ? the exponents.

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    subtract

  3. When raising a power to a power, ? the exponents.

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    multiply

  4. What is w³ × w⁻⁵?

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    w⁻². Add the exponents: 3 + (−5) = −2.

  5. What is a⁴ ÷ a⁻²?

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    a⁶. Subtract the exponents: 4 − (−2) = 4 + 2 = 6.

  6. What is (7x³)²?

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    49x⁶. Square both the coefficient and the variable: 7² = 49, and (x³)² = x⁶.

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