# What are the Basic Laws of Exponents?

Updated on April 16, 2012

## Basics of Exponents

An exponent is the superscript number that appears in the upper right corner above the base number. This number indicates how many times a base number should be multiplied by itself.

y2 = y × y

b5 = b x b x b x b x b

73 = 7 x 7 x 7

6 x 6 x 6 x 6 = 64

## Negative Exponents

A negative exponent indicate that we will be dealing with the reciprocal of the number with the position version of the exponent.

## Fractional Exponents

An exponent that is a fraction instead of an integer is called a Fractional Integer

## Multiply Powers of the Same Number

To multiply powers of the same base you add the exponents.

bn × bm = bn+m

## Division of Powers with the Same Base

To divide powers of the same base you simply subtract the exponents.

## Power of 1

Any number with the power of 1 is equal to itself

a1 = a

51 = 5

## Power of 0

The power of zero is equal to 1. This is known as the zero exponent rule.

a0 = 1

650 = 1

WHY??

using the law of division for exponents

Looking at the equation to the right we see that bm-m = b0 = 1

25

28

23

## Comments

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• Taleb AlDris

6 years ago

Thanks for sharing this useful hub.

I voted useful & Up.

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