Properties of Exponents

Power to a power: Multiply the exponents.

Example: ( x^n)^m = x^mxn
Power of a Product: Distribute the power.
Example: (xy)^2 = x^2 y^2


Power of a Quotient: Distribute the power.
Example: (x/y)^2 = x^2/y^2


Product of Powers: Add exponents.
Example: x^m* x^n = x^m*n


Quotient of Powers: Subtract the top exponent from the bottom exponent.


Example: x^3 over x^2 = x^m-n
Negative Exponents: Take the reciprical and change the sign of the exponents.
-n n
Example: x^-n = 1/ x
Zero Power: Any base with zero as an exponent equals one.

Example: x^0 = 1


Sorry if you were confused the exponents are above the example and the base is on the line bellow.
Amelia