Exponent Laws
by Rosalynn Knoble
What are Exponents?
Exponents are ways to show how many times a number, called the base, is multiplied times itself. A number with an exponent is always though of as "raised to the power".
The Laws
Multiplication: x^n+x^m=x^n+m
Power of a Power: (x^n)^m=x^nm
Division: x^n/x^m=x^n-m
Power of fraction: (x/y)^n=x^n/y^n
Example
2^2 x 2^3
In order to solve this, follow the steps below.
1.) figure out what you need to do with the exponents, in this case you will add them.
- 2^2 x 2^3 = 2^5.
2.) next, you simplify.
- 2^5 = 2 x 2 x 2 x 2 x 2= 32.
ANSWER: 32