Presentation is loading. Please wait.

Presentation is loading. Please wait.

Dividing Monomials Honors Math – Grade 8. Quotient of Powers Look for a pattern in the exponents. 3 factors 5 factors KEY CONCEPT Quotient of Powers To.

Similar presentations


Presentation on theme: "Dividing Monomials Honors Math – Grade 8. Quotient of Powers Look for a pattern in the exponents. 3 factors 5 factors KEY CONCEPT Quotient of Powers To."— Presentation transcript:

1 Dividing Monomials Honors Math – Grade 8

2 Quotient of Powers Look for a pattern in the exponents. 3 factors 5 factors KEY CONCEPT Quotient of Powers To divide two powers with the same base, subtract their exponents. Definition of Power Cancel common factors. What is the pattern?

3 Simplify Group powers that have the same base. Quotient of Powers Simplify A variable with no exponent indicated can be written as a power of 1.

4 Simplify Group powers that have the same base. Quotient of Powers Simplify

5 Power of a Quotient Look for a pattern in the exponents. 3 factors KEY CONCEPT Power of a Quotient To find a power of a quotient, find the power of the numerator and the power of the denominator. Definition of Power Multiply What is the pattern? 3 factors

6 Simplify Power of a Quotient Power of a Product Power of a Power

7 Simplify Power of a Quotient Power of a Product Power of a Power

8 The Zero Exponent Method 2Method 1 KEY CONCEPT Zero Exponent Any number raised to the zero power is equal to 1. Definition of Power Cancel common factors. Simplify Quotient of Powers

9 Simplify Definition of Zero Exponent. Recall that anything to the zero power is equal to 1 Even an entire expression raised to the zero power equals 1!

10 Simplify Zero Exponent Quotient of Powers Group powers that have the same base.

11 Negative Exponents Method 2Method 1 KEY CONCEPT Negative Exponent For any nonzero number a and any integer n, a -n is the reciprocal of a n. In addition, the reciprocal of a -n is a n. Definition of Power Cancel common factors. Simplify Quotient of Powers

12 Simplify Write as a product of fractions. Negative Exponents Definition Multiply Fractions

13 Simplify Write as a product of fractions. Quotient of Powers and Negative Exponent Definition Simplify Negative Exponent and Zero Exponent Definitions Multiply

14 Simplify Write as a product of fractions. Quotient of Powers Simplify Negative Exponent Definition Multiply


Download ppt "Dividing Monomials Honors Math – Grade 8. Quotient of Powers Look for a pattern in the exponents. 3 factors 5 factors KEY CONCEPT Quotient of Powers To."

Similar presentations


Ads by Google