NZ Level 5
Division law with integer bases

## Interactive practice questions

We want to evaluate $3^8\div3^5$38÷​35 by first evaluating each term in the quotient separately.

a

First, find the value of $3^8$38.

b

Now, find the value of $3^5$35.

c

Use your answers to the previous parts to find the value of $3^8\div3^5$38÷​35.

d

Use your answer to part (c) to simplify $3^8\div3^5$38÷​35.

$3^8\div3^5$38÷​35$=$=$3^{\editable{}}$3

Easy
Approx 2 minutes

We want to evaluate $\frac{5^5}{5^3}$5553 using repeated multiplication to simplify the fraction.

Fill in the missing power to make the equation true.

Convert $4^7\div4^4$47÷​44 to a fraction using index laws, and simplify the fraction. Write the answer as a single number.

### Outcomes

#### NA5-2

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