Year 7 Interactive Maths - Second Edition

Powers

That is:

So, 10 squared has 2 of the same factors.

This suggests that the power (or index) tells us how many times the base has to be multiplied by itself.

For example:


7³ is read as '7 to the power of 3' or '7 to the 3' or 7 cubed'.

Example 12

Write 5 × 5 × 5 × 5 in index form.

Solution:

Expanded Form

If a number is written as a product of factors, then it is said to be in expanded form.

Example 13

Write 3⁶ in expanded form.

Solution:

Example 14

Evaluate 2³.

Solution:

Short way:

Example 15

Evaluate 5⁴.

Solution:

Alternative way:

Example 16

Solution:

Example 17

Solution:

Key Terms

base, index, power, basic numeral, expanded form