Warm-up: Simplify the following. 1) 2) 3) 4) Expand the following: Write the following 5) using an exponent. 6) 7)

Words I think I’ve seen/heard before Words I have no knowledge of •I can derive and explain the properties of exponents. •I can understand the importance of using exponents. •I can apply the properties of integer exponents to generate equivalent numerical expressions. •I can simplify and evaluate numeric expressions involving integer exponents. HW: Notes Sheet Sort the following terms based on the following categories Base, Exponent, Negative, Powers, product, Quotient, Inverse, Exponential form, and Standard Form. Words I know well| Words I think I’ve seen/heard before Words I have no knowledge of

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Properties of Exponents Interactive Algebra

exponent base Parts of a Power Power Write each expression using a base & an exponent:

Product of Powers Property 1. 6 5 5 5 5 5 5 2. When multiplying exponents with the same base what pattern do you notice? The base stays the same & the exponents are added together. 3. If the bases of the powers are not the same, what do you notice? The powers can NOT be combined/simplified.

Product of Powers Property 1. 6 5 5 5 5 5 5 If the same base, the exponents are added together to simplify. 4. Use inductive reasoning to make a conjecture: m + n Common mistake: mn 5. Write each product below as a single power. a) ______ c) b) ______ d)

Power of a Power Property 1. 2 6 2 2 2 2 2 w w w w w w 2. What do you notice when raising a quantity to a power? Make a conjecture: The exponents are multiplied. 3. Write each power of a power below as a single power. a) c) b) d)

3. Write each power of a power below as a single power.

Quotient of Powers Property (Division) 1 1 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 1 4 4 4 2. What pattern do you notice above? Make a conjecture: 3. Write each quotient below as a single power. a) b) c)

3. Write each power of a power below as a single power. d)

Review Problems:

Additional Practice 3

Near Pod Lesson Quiz Sign In to google Classroom and complete the quiz. Product and Quotient Rule Review