Holt Algebra Integer Exponents Warm Up Evaluate each expression for the given values of the variables. 1. x 3 y 2 for x = –1 and y = for x = 4 and y = (–7) Write each number as a power of the given base. – ; base 4 (–3) 3 4. –27; base (–3)

Holt Algebra Integer Exponents Students will be able to: Simplify & Evaluate expressions containing zero and integer exponents. Learning Targets

Holt Algebra Integer Exponents You have seen positive exponents. Recall that to simplify 3 2, use 3 as a factor 2 times: 3 2 = 3  3 = 9. But what does it mean for an exponent to be negative or 0? You can use a table and look for a pattern to figure it out  5 5 Power Value – –2  5 5  5 5 5 5

Holt Algebra Integer Exponents Base x Exponent Remember! 4

Holt Algebra Integer Exponents

Holt Algebra Integer Exponents One cup is 2 –4 gallons. Simplify this expression.

Holt Algebra Integer Exponents A sand fly may have a wingspan up to 5 –3 m. Simplify this expression.

Holt Algebra Integer Exponents Simplify. A. 4 –3 B º = 1 Any nonzero number raised to the zero power is 1. C. (–5) –4 D. –5 –4

Holt Algebra Integer Exponents In (–3) –4, the base is negative because the negative sign is inside the parentheses. In –3 –4 the base (3) is positive. Caution

Holt Algebra Integer Exponents Simplify. a. 10 –4 b. (–2) –4 c. (–2) –5 d. –2 –5

Holt Algebra Integer Exponents Evaluate the expression for the given value of the variables. x –2 for x = 4 Substitute 4 for x. Use the definition

Holt Algebra Integer Exponents Evaluate the expression for the given values of the variables. –2a 0 b -4 for a = 5 and b = –3 Substitute 5 for a and –3 for b. Evaluate expressions with exponents. Write the power in the denominator as a product. Evaluate the powers in the product. Simplify.

Holt Algebra Integer Exponents Evaluate the expression for the given value of the variable. p –3 for p = 4 Substitute 4 for p. Evaluate exponent. Write the power in the denominator as a product. Evaluate the powers in the product.

Holt Algebra Integer Exponents Evaluate the expression for the given values of the variables. for a = –2 and b = 6 2 Substitute –2 for a and 6 for b. Evaluate expressions with exponents. Write the power in the denominator as a product. Evaluate the powers in the product. Simplify.

Holt Algebra Integer Exponents Simplify. A. 7w –4 B.

Holt Algebra Integer Exponents Simplify. C. and

Holt Algebra Integer Exponents Simplify. a. 2r 0 m –3 b. c. HWp.449/25-77odd, Day 2 P.450/78-97