Powers and Exponents
Ages 10–14Difficulty adapts to you
Powers and Exponents
In a power, the base is the repeated factor and the exponent tells how many copies of the base are multiplied.
Your goals
- ✓You can work with powers and exponent notation.
- ✓You can use base, exponent correctly.
- ✓You can expand the power into repeated factors.
Words to know
- base:
- The repeated factor in a power.
- exponent:
- The small number showing how many equal factors are multiplied.
Examples
- 12³ = 2 × 2 × 2 = 8.
- 25⁴ = 5 × 5 × 5 × 5 = 625.
Check these
- • Do not multiply the base by the exponent.
- • Keep every number, symbol, label, and unit in its correct place.
- • Show enough working to check how you reached your answer.
Helpful habits
- • Read the whole question before choosing what to do.
- • Show one clear step at a time and check each step.
- • If you are stuck, draw a model, try smaller numbers, or revisit the example.
Now try your own
Create your own powers and exponents example, solve it, and explain how you checked it.
Byte
Helpful Hints“If you are stuck, skip and come back later.”