What are the Basic Laws of Exponents?
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
A negative exponent indicate that we will be dealing with the reciprocal of the number with the position version of the exponent.
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
Proof for the Exponenet Power of Zero
Power of 0
The power of zero is equal to 1. This is known as the zero exponent rule.
a0 = 1
650 = 1
using the law of division for exponents
Looking at the equation to the right we see that bm-m = b0 = 1