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Exponentiation

During exponentiation you multiply the base a so often with itself as indicated by the exponent n

 

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Explanation

You can write a power as a normal multiplication

3² = 3 × 3 = 9

For the exponent the standard calculation rules apply

This works also for numbers, as

2³ × 3² = 8 × 9 = 72

When multiplying with the same base, you must add the exponents

3² × 3³ = 3²⁺³ = 3⁵3² × 3³ = 3²⁺³ = 3⁵

what you can easily check

3² × 3³ = 3 · 3 × 3 · 3 · 3 =  3 · 3 · 3 · 3 · 3 = 3⁵

 

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Example 1

With a simple calculation you can show that 2⁰ = 1 must be true, because

2² · 2⁰ = 2²⁺⁰ = 2² = 4

 

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