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