Math

Exponents

Before we talk about exponents. Let’s review multiplication. We know that multiplication is (repeated addition).
For example: if we multiply 2 x 3 =?
İt means (add the number “2” 3 times) or 3 2’s being added together.
Like so: 2+2+2 = 6

The exponent of a number says how many times to use the number in a multiplication.
İn other words exponent is just another word for (repeated multiplication).

In  83  the “3” says to use 8 ” three times ” in a multiplication,
so 83 = 8 × × 8  = 512

In words: 83  could be called “8 to the power of 3” or “8 to the 3’rd power”, or simply “8 cubed”

Reading exponents

24 =  2 × 2 × 2 × 2 = 16

This exponent would usually be read “two to the fourth power” or just “two to the fourth” for short.



53 = 5 × 5 × 5 = 125

In words: 53 could be called “5 to the third power”, “5 to the power of 3” or simply “5 cubed”


So, in General, an exponent is

Just like the four main arithmetic operations that we use in math.

Exponents are a type of math operation that tells what to do with numbers.
So what they tell to do with the numbers?
Exponents say to take a number and multiply it by itself a certain number of times.

# × # × # × #
 24 = 2 × 2 × 2 × 2 = 16

Which number is which?
Let’s use letters to define their places.

y

The number that is in the ( X ) place is called the base number
The number that is on top. İn the ( Y ) place is called the exponent


Since exponents are a type of math operation. Don’t we need a symbol to show the operation?

Well, because of the way they look. We don’t need to put a symbol. And remember it’s just repeated multiplication

y
5 = 2 × 2 × 2 × 2 × 2 = 32

Another Way of Writing exponents

Sometimes people use the ^ symbol, as it is easy to type. Also, it’s used in computer programming.

3^2 = 3 ×3= 9