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CanadaON
Grade 12

Expressions with rational variable bases and integer powers

Interactive practice questions

Rewrite the following using an exponent law.

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

Easy
< 1min

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

Easy
< 1min

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

Easy
< 1min

Simplify, and evaluate where possible, the following expression:

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

Easy
< 1min
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Outcomes

12CT.A.2.1

Simplify algebraic expressions containing integer and rational exponents using the laws of exponents (e.g., x^3/x^(1/2), sqrt(x^6 y^12))

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