Warm Up- please complete this on a separate sheet of paper (sometimes these will be collected and graded)  Simplify. 5xy + 12x – 3xy +3x – 19  Which of the follow is NOT a term? 6x5x – 12 = 4312 – 9y8by  Simplify and Evaluate when x = 5 and y = 7. 4x 2 y – 5x + 2y

Vocabulary Line Up

EXPONENT LAWS & COMBINING LIKE TERMS January 24 th, 2014

Type in your calculator (-2) 0 =___. Type in your calculator (200) 0 =____. Type in your calculator (1/4) 0 =___. Type in your calculator (5.14) 0 =____.

Do you notice a pattern? So we can say that any time you see a 0 exponent, the expression is equivalent to 1. Try 0 0 : This is never equal to 1.

This also works if your base is a variable. So for instance (x) 0 = 1, for all x  0. Even if it looks like this (xyz) 0 = 1. Even if it looks like this (x 3 + x 2 y – 25xy ) 0 = 1 It doesn’t matter what it looks like because anything to the 0 power is 1.

Exponents Type in to your calculator 3 2 = _______. Type in to your calculator 2 2 = _______. Type in to your calculator 4 2 = ________.

Negative Exponents (Give me your answers in fraction form.) Type in to your calculator 3 (-2) = _______. Type in to your calculator 2 (-2) = _______. Type in to your calculator 4 (-2) = ________. Do you notice a pattern?

Type in to your calculator = _______. Type in to your calculator = ________. Do you notice a pattern here?

Exponent Law: So we can say that bases with a negative exponent switch sides.

Notation (MOVE IT AND LOSE IT) So to make it simpler for solving. You need to rewrite expressions, so that all of the exponents become positive. For example:

Try These: (-4) -2

1. 2. When a fraction is in parentheses with a negative exponent, DISTRIBUTE the exponent and MOVE your terms. How about fractions!

Simplify the Expressions Now: Evaluate when a = 3 and b = 2

Expand& Simplify 3 5 = 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 = = 2. (-5) 7 = 3. (0.5) -3 =

Exponent Rules  When multiplying two variables with a like base, you ADD the exponents x 7 x 8 = x 15 x 5 x 1 = x 6  When dividing two variables with a like base, you SUBTRACT the exponents

Simplify

Expand then Simplify

Simplify the expression

Exponent Rules  When you raise an exponent to another exponent, you MULTIPLY the exponents. (y 2 ) 5 = (x 4 ) -2 =

Simplify

DO YOU REMEMBER THE GAME MEMORY?

Combining Like Terms  You can only COMBINE terms that match.  X matches X  X does not match x 2  Terms must match in VARIABLES and EXPONENTS

Match/Combine the Like Terms 17x 4 4y 3 14x 3 y 5 z23ab 2 56y 4 6a 2 b-32s 3 t 6 8a 2 b 3 4a 2 b 3 19s 6 t 3 2x 4 3x 3 y 5 z 85s 3 t 6 x5y3zx5y3z3y 4 96ab 2 15a 2 b7y 3 7x 5 y 3 z2s 6 t 3

Simplify the Expressions by Combining Like Terms

Homework  Worksheet  Remember to bring in signed parent forms!!!!