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This is the second tutorial on how to perform exponentiation.
Let's remaind ourself the definition:
Exponentiation is what you do when you evaluate expressions like 4 to the power 8 or 7 to
the power 3.
The formula is that the exponentiation of a number that we call the base to the power
that we call the exponent, (base)exponent, means that you multiply the base times itself
exponent times.
There are some special rules:
1. If the exponent is zero, the answer is 1.
2. If the exponent is 1 the answer is the base.
Let's do some examples:
Let's find the result for 9 to the power 0. This is one of the special rules.
1. The base here is 9. 2. The exponent is 0.
3. Because of the special rule, for one the exponent is 0, the answer is always 1.
Therefore 9 to the power 0 is equal to 1.
Let's do another example:
Let's find the result of 13 to the power 1.
1. The base here is the number 13. 2. The exponent is 1.
3. Because of the special rule, when the exponent is 1, the answer is always the base.
Therefore 13 to the power 1 is equal 13.
Let's do another example:
Let's find the result for 7 to the power 5.
1. The base is 7. 2. The exponent is 5.
3. 7 to the power 5 is equal with 7 x 7 x 7 x 7 x 7.
4. This can be done by taking pairs of 7's. The first two giving the result 49, the second
two giving the result 49 living our last fifth 7. So we now have to calculate 49 x 49 x 7
with a bit of scratch paper you can show that this is equal with 16,807.
Therefore 7 to the power 5 is equal 16,807.