1. Holt Algebra 1 7-1 Integer Exponents Simplify expressions with exponents. Objectives

2. Holt Algebra 1 7-1 Integer Exponents

3. Holt Algebra 1 7-1 Integer Exponents 2 –4 is read “2 to the negative fourth power.” Reading Math

4. Holt Algebra 1 7-1 Integer Exponents Example 2: Zero and Negative Exponents Simplify. A. 4 –3 B. 7 0 C. (–5) –4 D. –5 –4

5. Holt Algebra 1 7-1 Integer Exponents

6. Holt Algebra 1 7-1 Integer Exponents Products of powers with the same base can be found by writing each power as a repeated multiplication. Notice the relationship between the exponents in the factors and the exponents in the product 5 + 2 = 7.

7. Holt Algebra 1 7-1 Integer Exponents

8. Holt Algebra 1 7-1 Integer Exponents A number or variable written without an exponent actually has an exponent of 1. Remember! 10 = 10 1 y = y 1

9. Holt Algebra 1 7-1 Integer Exponents To find a power of a power, you can use the meaning of exponents. Notice the relationship between the exponents in the original power and the exponent in the final power:

10. Holt Algebra 1 7-1 Integer Exponents

11. Holt Algebra 1 7-1 Integer Exponents Powers of products can be found by using the meaning of an exponent.

12. Holt Algebra 1 7-1 Integer Exponents Examples Simplify. 1. 3 2 3 4 3. 5. 7. 2. 4. 6. (x3)2(x3)2

13. Holt Algebra 1 7-1 Integer Exponents A quotient of powers with the same base can be found by writing the powers in a factored form and dividing out common factors. Notice the relationship between the exponents in the original quotient and the exponent in the final answer: 5 – 3 = 2.

14. Holt Algebra 1 7-1 Integer Exponents

15. Holt Algebra 1 7-1 Integer Exponents A power of a quotient can be found by first writing the numerator and denominator as powers. Notice that the exponents in the final answer are the same as the exponent in the original expression.

16. Holt Algebra 1 7-1 Integer Exponents

17. Holt Algebra 1 7-1 Integer Exponents

18. Holt Algebra 1 7-1 Integer Exponents Lesson Quiz: Part I 1. 3. 4. 5. 2. Simplify.