NZ Level 5
Multiplication law with integer bases

## Interactive practice questions

We want to find the value of $2^2\times2^3$22×23 by first evaluating each term in the product separately.

a

First, find the value of $2^2$22.

b

Next, find the value of $2^3$23.

c

Use your answers to the previous parts to find the value of $2^2\times2^3$22×23.

d

Use your answer to part (c) to simplify $2^2\times2^3$22×23.

$2^2\times2^3$22×23$=$=$2^{\editable{}}$2

Easy
Approx a minute

We want to find the value of $3^2\times3^3$32×33.

Fill in the missing power to make the equation true.

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

### Outcomes

#### NA5-2

Use prime numbers, common factors and multiples, and powers (including square roots)