New Zealand
Level 6 - NCEA Level 1

# Simplify expressions using multiple index laws with variable bases

## Interactive practice questions

Simplify the expression, giving your answer in simplest index form: $\left(3^5\right)^2$(35)2.

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Simplify the following expression: $\left(x^3\right)^5$(x3)5.

$\left(-5\right)^{13}$(5)13 simplifies to which of the following?

$\left(-x^3\right)^4$(x3)4 simplifies to which of the following:

### Outcomes

#### NA6-2

Extend powers to include integers and fractions.

#### 91026

Apply numeric reasoning in solving problems