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Warm Up 1. 3x 2 + 2x + 3 2. –x 4 + 3x 3 – 3x + 4 3. 8 4. 16 5. -16 Add or subtract the following polynomials Solve.
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Lesson 10.2 Rules of Exponents Multiplying and powers SWBAT: Simplify expressions involving exponents.
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Review Base Exponent or power The _______ tells you ____________________________________ _________. The__________________tells you ____________________________________ ____________. base what number or variable you are going to multiply exponent or power how many times the base is multiplied by itself.
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Review When you are adding terms: only the coefficient (the number in front) changes. only the coefficient (the number in front) changes. When you are multiplying terms: the coefficient and the exponent change. the coefficient and the exponent change.
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Discovering Rule #1 Simplify each expression What do you notice? 32 81 144
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1 st Rule of Exponents 1 st Rule of Exponents: When you multiply powers with the same base, you must ADD the exponents. So the rule is
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Examples Ex. 1: Ex. 2: Ex. 3:
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Discovering Rule #2 Write each answer with a single exponent. What do you notice?
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2 nd Rule of Exponents 2 nd Rule of Exponents: When you have an exponent raised to another exponent, you must multiply the exponents. Ex. 4: Ex. 5: Ex. 6:
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3 rd Rule of Exponents 3 rd Rule of Exponents: When you have a product raised to a power, all parts are raised to the power. Ex. 7 Ex. 8 Ex. 9
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You Try: 1.5. 2.6. 3.4.
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Answers
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Summary/Reflection How will you remember the first three rules of exponents? Homework: Worksheet 10.1
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