# 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 8^{3} the “3” says to use 8 ” *three times *” in a multiplication,

so 8^{3} = 8** × **8 ** × **8 = 512

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

## Reading exponents

2^{4} = *2 × 2 × 2 × 2* = 16

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

5^{3} = *5 × 5 × 5 * = 125

In words: 5^{3} 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.

*# × # × # × # *

2^{4} = *2 × 2 × 2 × 2* = 16

Which number is which?

Let’s use letters to define their places.

x ^{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

x ^{y}

2 ^{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