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Dividing Monomials Honors Math – Grade 8

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Quotient of Powers Look for a pattern in the exponents. 3 factors 5 factors KEY CONCEPT Quotient of Powers To divide two powers with the same base, subtract their exponents. Definition of Power Cancel common factors. What is the pattern?

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Simplify Group powers that have the same base. Quotient of Powers Simplify A variable with no exponent indicated can be written as a power of 1.

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Simplify Group powers that have the same base. Quotient of Powers Simplify

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Power of a Quotient Look for a pattern in the exponents. 3 factors KEY CONCEPT Power of a Quotient To find a power of a quotient, find the power of the numerator and the power of the denominator. Definition of Power Multiply What is the pattern? 3 factors

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Simplify Power of a Quotient Power of a Product Power of a Power

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Simplify Power of a Quotient Power of a Product Power of a Power

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The Zero Exponent Method 2Method 1 KEY CONCEPT Zero Exponent Any number raised to the zero power is equal to 1. Definition of Power Cancel common factors. Simplify Quotient of Powers

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Simplify Definition of Zero Exponent. Recall that anything to the zero power is equal to 1 Even an entire expression raised to the zero power equals 1!

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Simplify Zero Exponent Quotient of Powers Group powers that have the same base.

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Negative Exponents Method 2Method 1 KEY CONCEPT Negative Exponent For any nonzero number a and any integer n, a -n is the reciprocal of a n. In addition, the reciprocal of a -n is a n. Definition of Power Cancel common factors. Simplify Quotient of Powers

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Simplify Write as a product of fractions. Negative Exponents Definition Multiply Fractions

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Simplify Write as a product of fractions. Quotient of Powers and Negative Exponent Definition Simplify Negative Exponent and Zero Exponent Definitions Multiply

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Simplify Write as a product of fractions. Quotient of Powers Simplify Negative Exponent Definition Multiply

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