Indices
UK Secondary (7-11)
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Expressions with algebraic fraction bases and integer powers

Interactive practice questions

Rewrite the following using an index law.

$\left(\frac{a}{b}\right)^3=\frac{\left(\editable{}\right)^{\editable{}}}{\left(\editable{}\right)^{\editable{}}}$(ab)3=()()

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Simplify the following, giving your answer with a positive index: $\left(\frac{a}{b}\right)^{-5}$(ab)5

Simplify the following, giving your answer with a positive index: $\left(\frac{1}{b}\right)^3$(1b)3

Simplify, and evaluate where possible, the following expression:

$\left(\frac{a}{2}\right)^4$(a2)4

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