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June 18th

June 18th

# Define and Use Zero and Negative Exponents

Goal • Use zero and negative exponents .

 DEFINITION OF ZERO AND NEGATIVE EXPONENTS Words Algebra Example a to the zero power is 1. a-n is the reciprocal of an. an is the reciprocal of a-n.

Example 1 Use definition of zero and negative exponents

 pression s.html">Evaluate the expression . In this lesson, when simplifying powers with numerical bases, evaluate the power. Definition of negative exponents Evaluate exponent. Definition of zero exponent Definition of negative exponents Evaluate exponent. Simplify. undefined a-n is defined only for a nonzero number a .

 PROPERTIES OF EXPONENTS Let a and b be real numbers , and let m and n be integers. Product of powers property Power of a power property Power of a product property Quotient of powers property Power of a quotient property

Example 2 Evaluate exp onential expressions

 Evaluate the expression. Product of powers property Add exponents. Definition of zero exponent Power of a power property Multiply exponents. Evaluate power. Definition of negative exponents Evaluate power. Quotient of powers property Subtract exponents. Evaluate power.

Guided Practice Evaluate the expression.

Example 3 Use properties of exponents

 Simplify the expression Write your answer using only positive exponents . Solution Definition of negative exponents Power of a product property Product of powers property Quotient of powers property

Homework

Guided Practice Simplify the expression.

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