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Exponentiation

During exponentiation you multiply the base x so often with itself as indicated by the exponent y

 

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Explanation

You can write an exponentiation as a normal multiplication

3² = 3 × 3 = 9

Here you see that in a multiplication the exponents must be added

3¹ × 3¹ = 3¹⁺¹ = 3²

Likewise, in a division the exponents must be subtracted

,   as     or  

and so

,   as   

To get a good picture, the following

Now you can also perform more difficult calculations

Then you've also got

2³ × 3² = 8 × 9 = 72

With letters this is not possible, because

That will be clear. Now we make it slightly more complicated

Here we have multiplied the exponents. That we do one more time

or if you prefer

and, of course, you get the same result – if you do it right.

 

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