AQA · Mathematics · 8300
GCSE Maths: Algebra: indices
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Algebra: indices (Corbettmaths Video 17), 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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When multiplying powers with the same base, you ? the exponents.
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add
What is 5⁴ × 5³ simplified?
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5⁷
When dividing powers with the same base, you ? the exponents.
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subtract
What is a⁶ ÷ a³ simplified?
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a³
When raising a power to another power, you ? the exponents.
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multiply
What is w³ × w⁻⁵ simplified?
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w⁻²
What is a⁴ ÷ a⁻² simplified?
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a⁶
What is (7x³)² simplified?
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49x⁶
What is (2m⁴)³ simplified?
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8m¹²
What common mistake occurs when simplifying y⁸ × y³?
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Multiplying the exponents to get y²⁴ instead of adding them to get y¹¹.
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