Presentation is loading. Please wait.

Presentation is loading. Please wait.

Dividing and Reducing Monomials

Similar presentations

Presentation on theme: "Dividing and Reducing Monomials"— Presentation transcript:

1 Dividing and Reducing Monomials

2 The Zero Power Rule Zero Property of Exponents
A nonzero number to the zero power is 1:

3 Quotient of Powers Simplify the following expression:
Step 1: Write out the expressions in expanded form. Step 2: Cancel matching factors (A factor is a term that is multiplied by the rest of the expression; here, ‘a’ is a factor.).

4 Quotient of Powers Rule
Let’s look at the results: Notice: • the base is still ‘a’. • the power is 2 = (7 - 5). • the term that didn’t cancel is in the numerator (where the larger power was to begin with). For all values, a, and all integers m and n:

5 Quotient of Powers Rule

6 Dividing Monomials These monomials have coefficients and more than one variable. Reduce the coefficients as you would with a typical fraction and use the power rule for the variables.

7 Power of a Quotient Simplify the following:
Step 1: Distribute the power to both the numerator & denominator. Step 2: Find the powers of the numerator & denominator. Step 3: Reduce if you can.

8 Power of a Quotient Rule
For any numbers, a & b, and all integers m,

Download ppt "Dividing and Reducing Monomials"

Similar presentations

Ads by Google