7 1 Integer Exponents Warm UpAdd to Notes

7 -1 Integer Exponents Warm Up(Add to Notes) Evaluate each expression for the given values of the variables. 1. x 3 y 2 for x = – 1 and y = 10 2. Holt Algebra 1 for x = 4 and y = (– 7) – 100

7 -1 Integer Exponents Holt Algebra 11

7 -1 Integer Exponents Remember! Base x 4 Exponent Holt Algebra 1

7 -1 Integer Exponents Holt Algebra 1

7 -1 Integer Exponents Notice the phrase “nonzero number” in the previous table. This is because 00 and 0 raised to a negative power are both undefined. Holt Algebra 1

7 -1 Integer Exponents Example 1: Application One cup is 2– 4 gallons. Simplify this expression. cup is equal to Holt Algebra 1

7 -1 Integer Exponents Example 2: Zero and Negative Exponents Simplify. A. 4– 3 B. 70 7º = 1 C. (– 5)– 4 D. – 5– 4 Holt Algebra 1 Any nonzero number raised to the zero power is 1.

7 -1 Integer Exponents Caution In (– 3)– 4, the base is negative because the negative sign is inside the parentheses. In – 3– 4 the base (3) is positive. Holt Algebra 1

7 -1 Integer Exponents Simplify. Check It Out! Example 2 a. 10– 4 b. (– 2)– 4 c. (– 2)– 5 d. – 2– 5 Holt Algebra 1

7 -1 Integer Exponents Check It Out! Example 3 a 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 1

7 -1 Integer Exponents Check It Out! Example 3 b Evaluate the expression for the given values of the variables. for a = – 2 and b = 6 Substitute – 2 for a and 6 for b. Evaluate expressions with exponents. 2 Holt Algebra 1 Write the power in the denominator as a product. Evaluate the powers in the product. Simplify.

7 -1 Integer Exponents An expression that contains negative or zero exponents is not considered to be simplified. Expressions should be rewritten with only positive exponents. So if a base with a negative exponent is in a denominator, it is equivalent to the same base with the opposite (positive) exponent in the numerator. Holt Algebra 1

7 -1 Integer Exponents Example 4: Simplifying Expressions with Zero and Negative Numbers Simplify. A. 7 w– 4 Holt Algebra 1 B.

7 -1 Integer Exponents Example 4: Simplifying Expressions with Zero and Negative Numbers Simplify. C. and Holt Algebra 1

7 -1 Integer Exponents Check It Out! Example 4 Simplify. a. 2 r 0 m– 3 rº = 1 and b. Holt Algebra 1 c. .

7 -1 Integer Exponents Lesson Quiz: Part I 1. A square foot is 3– 2 square yards. Simplify this expression. Simplify. 2. 2– 6 3. (– 7)– 3 4. 60 5. – 112 Holt Algebra 1 1 – 121

7 -1 Integer Exponents Lesson Quiz: Part II Evaluate each expression for the given value(s) of the variables(s). 6. x– 4 for x =10 7. Holt Algebra 1 for a = 6 and b = 3

7 -1 Integer Exponents Warm-Up 1. A square foot is 3– 2 square yards. Simplify this expression. Simplify. 2. 2– 6 3. (– 7)– 3 4. 60 5. – 112 Holt Algebra 1 1 – 121