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In 2⁵ the base is 2 and the power (exponent) is 5: 2⁵ = 2 × 2 × 2 × 2 × 2 = 32. With the same base, multiplying adds the powers and dividing subtracts them. A negative power means "one over": 2⁻³ = 1/2³ = 1/8. Very big and very small numbers are written in standard form, like 3.6 × 10⁵ = 360000.
✓ You passed this lesson’s test.
Same base, work the powers — “multiplying adds the powers, dividing subtracts them, a power of a power multiplies them”
Use it for: Distances in space, sizes of bacteria, populations, and the exponents and powers chapter of Class 8 maths.
Check: 1/8 × 2³ = 1/8 × 8 = 1 ✓
▶ Watch it animatedWork it out in your head or on paper, type the answer and press Check. Stuck? Press “Show me how”.
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20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.
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