1. Objectives
Simplify expressions with exponents.

3. 2–4 is read “2 to the negative fourth power.”
Reading Math

4. Example 2: Zero and Negative Exponents
Simplify.
A. 4–3
B. 70
C. (–5)–4
D. –5–4

6. 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.

8. A number or variable written without an exponent actually has an exponent of 1.
Remember!
10 = 101
y = y1

9. 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:

11. Powers of products can be found by using the meaning of an exponent.

12. Examples
Simplify.
1. 32• 34 3. 5. 7. 2.
(x3)2 4. 6.

13. 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.

15. 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.

18. 1. 5.
Lesson Quiz: Part I
Simplify. 2.