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Definition of Power with Natural Exponent

Mathematics Grade 7 Difficulty 2/5

Beginning of the lesson

Definition of Power with Natural Exponent

1. Definition of Power

Definition: The power of a number a with natural exponent n (where n > 1) is an expression an equal to the product of n factors, each equal to a.

an = a × a × a × ... × a

(n times / n множителей)

Example:

25 = 2 × 2 × 2 × 2 × 2 = 32

Five factors of 2 multiplied together
Example:

34 = 3 × 3 × 3 × 3 = 81

Four factors of 3 multiplied together

2. Terminology

Interactive visualization — available in the full lesson
Term Translation Meaning
Base Основание The number being multiplied
Exponent Показатель How many times to multiply
Power Степень The entire expression an
How to read:
53 reads as "five to the third power" or "five cubed"
"five to the third power" or "five cubed"

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  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 130
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