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SIMPLIFY EXPRESSIONS WITH INTEGER EXPONENTS PRACTICE ALL OF THE PROPERTIES OF EXPONENTS

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43210 In addition to 3, student will be able to go above and beyond by applying what they know about working with integer exponents. The student will be able to work with integer exponents. - Know and apply the properties of exponents. - Simplify numerical expressions with exponents. - Perform operations with scientific notation. With no help the student has a partial understanding of integer exponents. - Is able to use scientific notation to estimate very large or very small numbers. - Interpret scientific notation generated by technology. With help, the student may have a partial understanding of how to work with integer exponents. Even with help, the student is unable to work with integer exponents. Focus 11 - Learning Goal: The student will be able to work with integer exponents.

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REVIEW OF ALL OF THE PROPERTIES OF EXPONENTS

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Practice simplifying expressions with integer exponents using multiple rules. 1. 4c 0 1. (4)(1) 2. 4 2. 3y 2 (2y) 3 1. = 3y 2 2 3 y 3 2. = 3 2 3 y 5 3. = 3 8y 5 4. = 24y 5 3. 4x 2 y 2xy 2 1. 2x 2 y xy 2 2. 2xy y 2 3. 2x y Anything to the zero power is 1. Distribute the Power of 3 to everything in the parenthesis. The “y”s have the same base, add the exponents. Solve 2 3. Multiply 3 and 8. Simplify 4 divided by 2. The “x”s have the same base, subtract their exponents: 2 – 1 = 1. Since this is positive, x 1 stays in the numerator. The “y”s have the same base, subtract their exponents: 1 – 2 = -1. Since this is negative, y -1 it moves to the denominator.

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Practice simplifying expressions with integer exponents using multiple rules. 4 Distribute the Power of 4 to EVERY variable in the parenthesis by multiplication. The “x”s have the same base, subtract their exponents: 28 – 8 = 20. Since it is positive, x 20 stays in the numerator. The “y”s have the same base, subtract their exponents: 12 – 4 = 8. Since it is positive, y 8 stays in the numerator.

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Select each expression that is equivalent to 1 / 64. a) 4 -3 b) 8 -2 c) 8 7 8 -9 d) 8 2 e) 4 -1 4 -2 5. (2m 3 6m 4 ) 2 1. (12m 7)2 2. 12 2 m 14 3. 144m 14 Practice simplifying expressions with integer exponents using multiple rules. Simplify what is in parenthesis. Distribute the Power of 2 to everything in the parenthesis. Solve 12 2.

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