5.1 Properties of Exponents Exponents mean repeated multiplication Exponent 23 = 222 Power Base

Product of Powers Property ex) ex)

The Power of a Power Property ex) ex) ex)

Power of a Product ex) ex)

Negative Exponents in Numerators and Denominators Write each expression with positive exponents only. Negative Exponents in Numerators and Denominators and ex) ex)

The Zero-Exponent Property Use the Zero-Exponent Rule The Zero-Exponent Property ex) ex)

The Quotient of Powers Property Divide by using the Quotient Rule The Quotient of Powers Property ex)

The Power of Quotient Property Simplify by using the Quotient of Powers Rule The Power of Quotient Property ex)

Exercise 1 Practice simplifying expressions. x2x5 (-8)(-8)3 a3a7

Exercise 2 Use the division property of exponents to rewrite each expression with a single exponent.

Exercise 3 Simplify the expression. 12-4 w5w-8w6 16-3

Simplify. ex) ex) ex)