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“Hint: Break big problems into smaller steps!”