Multiplying and Dividing Powers with Same Base Alex Drennan

Definitions A power is the value indicated by a base with an exponent: A power is the value indicated by a base with an exponent:ExponentBase

Multiplying To multiply powers with the same base, keep the base the same and add the exponents To multiply powers with the same base, keep the base the same and add the exponents a m x a n = a m+n

Example x x 3 5 = x 3 5 = Recognize same base 2. Add the exponents 3. Solve

Example x x 2 5 = x 2 5 = = 2 1. Recognize same base 2. Add the exponents 3. Solve 4. Any number to the first power equals itself

Dividing To divide powers with the same base, subtract the exponent in the denominator from the exponent in the numerator To divide powers with the same base, subtract the exponent in the denominator from the exponent in the numerator a m a m-n a m a m-n anananan =

Example Recognize same base 2. Subtract the exponents 3. Solve = = 4 2

Example = 1 1. Recognize same base 2. Subtract the exponents 3. Solve 4. Negative exponent moved to denominator = =