NZ Level 7 (NZC) Level 2 (NCEA)
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Mixed expressions using index laws

Interactive practice questions

Simplify the following expressions where possible.

If a given expression is already fully simplified, then enter it as your answer.

a

$a^s\times a^t$as×at

b

$\frac{a^s}{a^t}$asat

c

$a^s\times a^s$as×as

d

$a^s+a^s$as+as

e

$a^s+a^t$as+at

Easy
Approx 5 minutes
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Simplify $p^7\div p^3\times p^5$p7÷​p3×p5.

Simplify $p^{14}\div p^6\div p^5$p14÷​p6÷​p5.

Simplify the following, giving your answer with a positive index: $\frac{4n^3\times4n^4}{16}$4n3×4n416

Outcomes

M7-6

Manipulate rational, exponential, and logarithmic algebraic expressions

91261

Apply algebraic methods in solving problems

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