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Lesson 1 of 14

A short way to write a long multiplication

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5 min

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Start with one cell. Every cell splits in two each hour. After five hours there are 32 cells.

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2⁵ — the short way to write it.
Step 1 of 4
  1. 2⁵ — the short way to write it.
  2. Opened out: 2 × 2 × 2 × 2 × 2.
  3. Five 2s. Base 2, exponent 5.
  4. Multiplied out: 32.

The rule

A power is a short way to write repeated multiplication. It has a base and an exponent. The base is the number you multiply. The exponent counts how many. The exponent is also called the count. 2⁵ is five 2s multiplied: 32. Each copy of the base is a factor.

  • 5² is read five squared. 5³ is five cubed.
  • Above 3, say "to the power" and the exponent. 2⁴ is two to the power four.
  • 5³ = 5 × 5 × 5 = 25 × 5 = 125.
  • A power multiplies. 3 + 3 + 3 + 3 is 12, but 3 × 3 × 3 × 3 is 81.

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