7-1 Zero and Negative Exponents Hubarth Algebra.

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Presentation transcript:

7-1 Zero and Negative Exponents Hubarth Algebra

Ex 1 Simplifying a Power Simplify = (–22.4) 0 b.Use the definition of zero as an exponent. = 1 a. 3 –2 = Use the definition of negative exponent

Ex 2 Simplifying an Exponential Expression Simplify each expression. Simplify. 3ab 23ab 2 = = 1  1x 31x 3 Use the definition of negative exponent. = x 3 Identity Property of Multiplication = 1 x 3 Multiply by the reciprocal of, which is x 3. 1 x 3 1 b 2 Use the definition of negative exponent. = 3a Rewrite using a division symbol. = 1  x –3 a. 3ab –2 b. 1 x –3

Evaluate 4x 2 y –3 for x = 3 and y = –2. Write with positive exponents first. Substitute 3 for x and –2 for y. 4(3) 2 (–2) 3 = 36 – = = Simplify. 4x 2 y –3 = Use the definition of negative exponent. 4x 2y 34x 2y 3 Ex 3 Evaluating an Exponential Expression

Practice 1