Indices
New Zealand
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
1min
We want to evaluate $\frac{5^5}{5^3}$5553 using repeated multiplication to simplify the fraction.
Easy
3min
Fill in the missing power to make the equation true.
Easy
< 1min
Convert $4^7\div4^4$47÷44 to a fraction using index laws, and simplify the fraction. Write the answer as a single number.
Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account