# Advanced Algebra Notes Section 5.1: Finding Rational Zeros When we multiply two powers together that have the same base we use the_________ ____________________.

## Presentation on theme: "Advanced Algebra Notes Section 5.1: Finding Rational Zeros When we multiply two powers together that have the same base we use the_________ ____________________."— Presentation transcript:

Advanced Algebra Notes Section 5.1: Finding Rational Zeros When we multiply two powers together that have the same base we use the_________ ____________________ to make calculating our answer easy. Laws of Exponents Let a and b be real numbers and let m and n be integers. Property of Powers: a m a n = a m+n Ex: Power of a Power:(a m ) n = a mn Ex: Power of a Product:(ab) m = a m b m Ex: Negative Exponent:a -m =, Ex: Zero Exponent: a 0 = 1, Ex: Quotient of Powers: = a m-n Ex: Power of a Quotient: Ex: Laws of Exponents q5q5 1

Scientific notation -91,125 81

You can use the properties of exponents to simplify algebraic expressions. A simplified expression contains only __________ exponents. Examples: Simplify the algebraic expressions. 5. x -6 x 5 x 3 6. (7y 2 z 5 )(y -4 z -1 ) 7.8. positive