NZ Level 5
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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
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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)

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