What are Powers and Roots?
What is the power of a number
When a number is multiplied by itself either once or several times, the number of times the number is multiplied is known as the power of a number.
a) Multiplied by itself
5 x 5
b) Multiplied by itself multiple times
3 x 3 x 3
We can also write these numbers in a different way.
5 x 5 = 52
3 x 3 x 3 = 33
6 x 6 x 6 x 6= 64
What is an exponent, base and power in a number?
- The small number at the top is the exponent. It is how many times the number is multiplied by itself.
- The large number is called the base. It is the number that is being multiplied by it self.
- The power of the number is how many times the number is being multiplied by it self.
How is the power of a number calculated?
The power of the number : 64 is
6 x 6 x 6 x 6 = 1296
The power of the number 72 is
7 x 7 = 49
What is the root of a number?
The root of a number A is another number, which when multiplied by itself a given number of times, equals A.
a) 5 x 5= 25
The number 5 is the root of twenty five.
b) 6 x 6= 36.
The number 6 is the root of the number 36.
How to calculate the root of a number?
Find the root of the number 16 :
16 is a small number – so it will be easy to figure out by multiplying small numbers by themselves:
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
So the root of the number 16 is 4.