# Copyright©amberpasillas2010. Simplify two different ways. == = =

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Simplify two different ways. == = =

copyright©amberpasillas2010 How do you divide expressions with exponents ? Ex: a5a5 a3a3 Let’s look at each problem in factored form. a a a a a a a a x x Notice that you can cancel from numerator to denominator. = a 2 = x2= x2 Do you see a “ shortcut ” for dividing these expressions? =

copyright©amberpasillas2010 Just Subtract the Exponents! Your short cut is called the Quotient of Powers Property.

copyright©amberpasillas2010 Simplify. x 5 x 2 == x 5 x 2 = Quotient of Powers Property x a x b = or “When you divide powers, you subtract the exponents!”

copyright©amberpasillas2010 Simplify. 5 5 5 5 5 5 6 = 5 4 5 6 - 4 = = 5 2 5 2 Quotient of Powers Property x a x b =

copyright©amberpasillas2010 Simplify Using What You Just Learned. 1) 3) 2) 4)

copyright©amberpasillas2010 Simplify Using What You Just Learned.

copyright©amberpasillas2010 Simplify Using What You Just Learned.

copyright©amberpasillas2010 Power to Power Rule ( ) x a = b x ab ( ) 2 3 = -2 2 3(-2) = 2 -6 = = ( ) 8 -2 = = Negative exponents follow rules of exponents.

copyright©amberpasillas2010 Simplify in two different ways. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction.

copyright©amberpasillas2010 COEFFICIENT: The number in front of the variable is the coefficient. Multiply coefficients. Add exponents if the bases are the same

copyright©amberpasillas2010 COEFFICIENT: The number in front of the variable is the coefficient. Multiply coefficients. Add exponents if the bases are the same

copyright©amberpasillas2010 COEFFICIENT: The number in front of the variable is the coefficient. Multiply coefficients. Add exponents if the bases are the same

Take Out Your Study Guide!!!

copyright©amberpasillas2010 # 16 When Dividing Powers with the same base, just SUBTRACT THE EXPONENTS. This is called the Quotient of Powers Property. x 5 x 2 == x 5 x 2 = or