NZ Level 7 (NZC) Level 2 (NCEA)
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Fractional bases with fractional powers

Interactive practice questions

Evaluate $\left(\frac{25}{36}\right)^{\frac{1}{2}}$(2536)12.

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Evaluate by first expressing as a surd.

$\left(\frac{8}{125}\right)^{\frac{2}{3}}$(8125)23

Evalute $\left(\frac{169}{16}\right)^{\frac{1}{2}}$(16916)12.

Simplify $\left(\frac{512}{729}\right)^{\frac{1}{3}}$(512729)13, using index laws and then evaluate.

Outcomes

M7-6

Manipulate rational, exponential, and logarithmic algebraic expressions

91261

Apply algebraic methods in solving problems

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