Classroom Introductions

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Presentation transcript:

Classroom Introductions Welcome! Please fill out “Get to Know you!” Syllabus *MUST GET SIGNED BY PARENT! Calendar & Stamps (Keep in binder at all times) Bathroom Passes Books

Exponent Laws Wednesday: January 23rd

Exponents Line-Up

Type in your calculator (-2)0=___. Type in your calculator (200)0=____ 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? Try 00: This is never equal to 1. So we can say that any time you see a 0 exponent, the expression is equivalent to 1. Try 00: This is never equal to 1.

This also works if your base is a variable. So for instance (x)0 = 1. Even if it looks like this (xyz)0 = 1. Even if it looks like this (x3 + x2y – 25xy2 + 50)0 = 1 It doesn’t matter what it looks like because anything to the 0 power is 1.

Negative Exponents Type in to your calculator 3 -2 = _______. (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 = _______. 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: 3-2 6-1 (-4)-2

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

Simplify the Expressions 1. 2. 3. 4. Now: Evaluate when a = 3 and b = 2

Expand 35 = 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 124 = (-5)7 = (0.5)-3 =

Expand then Simplify 122 ∙123 = (-8)3 ∙ (-8)6 =

Expand and Simplify 3. (32)5 = 4. (34)-2 =

Expand the expression 1. 2. 3.

Expand then Simplify 4. 5. 6.

Homework Worksheet 1.1 DUE TOMORROW for a Stamp  You may go to tutoring with any Algebra 1 teacher Monday, Tuesday, or Thursday. (schedule on Mrs. S Website) Mrs. Sawyer has tutoring Tuesday 2:15- 3:15 p.m. & by appointment