1. Holt Algebra 1 7-1 Integer Exponents Warm Up Evaluate each expression for the given values of the variables. 1. x 3 y 2 for x = –1 and y = 10 2. for x = 4 and y = (–7) Write each number as a power of the given base. –100 4343 3. 64; base 4 (–3) 3 4. –27; base (–3)

2. Holt Algebra 1 7-1 Integer Exponents Students will be able to: Simplify & Evaluate expressions containing zero and integer exponents. Learning Targets

3. Holt Algebra 1 7-1 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. 3125 625 125255  5 5 Power Value 5 5454 5353 5252 5151 5 –1 5050 5 –2  5 5  5 5 5 5

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

5. Holt Algebra 1 7-1 Integer Exponents

6. Holt Algebra 1 7-1 Integer Exponents One cup is 2 –4 gallons. Simplify this expression.

7. Holt Algebra 1 7-1 Integer Exponents A sand fly may have a wingspan up to 5 –3 m. Simplify this expression.

8. Holt Algebra 1 7-1 Integer Exponents Simplify. A. 4 –3 B. 7 0 7º = 1 Any nonzero number raised to the zero power is 1. C. (–5) –4 D. –5 –4

9. Holt Algebra 1 7-1 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

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

11. Holt Algebra 1 7-1 Integer Exponents Evaluate the expression for the given value of the variables. x –2 for x = 4 Substitute 4 for x. Use the definition

12. Holt Algebra 1 7-1 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.

13. Holt Algebra 1 7-1 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.

14. Holt Algebra 1 7-1 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.

15. Holt Algebra 1 7-1 Integer Exponents Simplify. A. 7w –4 B.

16. Holt Algebra 1 7-1 Integer Exponents Simplify. C. and

17. Holt Algebra 1 7-1 Integer Exponents Simplify. a. 2r 0 m –3 b. c. HWp.449/25-77odd, Day 2 P.450/78-97