6.1 From Multiplication to Powers
**If the base is positive **
Image that you are going to multiply a number by itself many times.
Example: 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 = ?
For practical reason, mathematicians have decided to write this an easier way. You then use something called powers. Powers can then be described of as product of identical factors.
The example above would then be written as follow:
3 **·** 3 **·** 3 **·** 3 **·** 3 = 243.
The power 3^{5 }is read as ”three to the power of five”. This is because we have multiplied the number 3 five times with itself.
2^{3} = 8 because 2 **·** 2 **·** 2 = 8. Here the two is called *the base* and the three for *the exponent*. |