NZ Level 6 (NZC) Level 1 (NCEA)
Multiplication law with variable bases

## Interactive practice questions

Simplify the following, giving your answer with a positive index: $2^2\times2^2$22×22

Easy
Less than a minute

Simplify the following, giving your answer in index form: $3^9\times3^{10}$39×310.

We want to simplify the expression $a^2\times a^3$a2×a3.

What term should go in the space to make the statement true?

$a^3\times?=a^6$a3×?=a6

### Outcomes

#### NA6-2

Extend powers to include integers and fractions.

#### 91026

Apply numeric reasoning in solving problems