7 4 Division Properties of Exponents Algebra 2
7. 4 Division Properties of Exponents Algebra 2. 0
Main Idea • We will learn more about how to simplify exponential expressions. • These exponential expressions are written as fractions and may include negative exponents. • You must be careful in this lesson by paying close attention to all the exponents and the small negative signs.
Quotient of Powers Property • Quotient of Powers Property: Property If the bases are the same, subtract the exponents.
EX 1 Finding Quotients of Powers
Practice 1
Positive Power of a Quotient • Positive Power of a Quotient Property: Property if it looks like a fraction with parentheses, distribute the outside power to the top and bottom.
Ex 4 Finding Positive Powers of Quotients
Practice 4
Negative Power of a Quotient Property • Negative Power of a Quotient Property: Property if it is a fraction with a negative power, use the reciprocal, then distribute the positive outside power to the top and bottom.
Ex 5 Finding Negative Powers of Quotients
Practice 5
Review • When finding the quotient of two powers with the same base, what operation do you do to the exponents? • When you have a fraction raised to a positive power, what do you do with the exponent? • When you have a fraction raised to a negative power, what do you do to write it as a fraction with a positive exponent?
- Slides: 12
