Quiz

Quiz: Applying the Index Laws

OCR J560 GCSE Mathematics

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Steps in this lesson (8)

1
Text

Welcome! You've already mastered powers and indices. Now, let's build on that by applying the index laws to solve problems and simplify expressions. Ready to challenge yourself?

2
Multiple ChoiceInteractive

What is the result of simplifying \(a^3 \times a^4\)?

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3
Multi-SelectInteractive

Which of these are correct applications of index laws? (Select all that apply)

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4
Fill in the BlankInteractive

The rule \(\frac{x^m}{x^n} = x^{m-{{blank0}}}\) is used to simplify expressions like \(\frac{a^7}{a^3}\), resulting in \(a^{{blank1}}\).

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5
MatchingInteractive

Match the items on the left with their correct pairs on the right

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6
typedAnswer

Match the items on the left with their correct pairs on the right

7
Multiple ChoiceInteractive

Simplify \((3x^2y)^3 \div (9x^3y^2)\).

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8
Fill in the BlankInteractive

The expression \((2a^3b^2)^2 \div a^4b\) simplifies to \(2^{{blank0}}a^{{blank1}}b^{{blank2}}\).

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