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Question 12 of 17 in Algebra 6

Algebra 6

2 marks · Normal

Simplify the following expression, writing your answer as a power of only:

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a^{9/2}

Also accept: a^{4.5}; a^4.5

Common mistakes: Multiplying instead of adding powers; Incorrect sign for negative indices

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Marking points

M1 · 1 mark · Adds exponents correctly: 5/2 - (-2) = 5/2 + 2.

A1 · 1 mark · Arrives at final answer a^{9/2}.

Worked solution

When dividing powers with the same base, subtract the exponents:

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