1. Lesson Objective: I will be able to …
Use division properties of exponents to
evaluate and simplify expressions
Language Objective: I will be able to …
Read, write, and listen about vocabulary, key
concepts, and examples

2. 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.

3. Page 16

4. Example 1: Finding Quotients of Powers
Page 17
Example 1: Finding Quotients of Powers
Simplify. C. A. B.

5. Both and 729 are considered to be simplified.
Helpful Hint

6. Your Turn 1
Page 18
Simplify.

7. Example 2: Dividing Numbers in Scientific Notation
Page 18
Simplify and write the answer in scientific notation

8. You can “split up” a quotient of products into a product of quotients:
Writing Math
This is not true for addition and subtraction!

9. Simplify and write the answer in scientific notation.
Your Turn 2
Page 19
Simplify and write the answer in scientific notation.

10. Example 3: Economic Application
Page 19
Example 3: Economic Application
The Colorado Department of Education spent about
dollars in fiscal year on public schools. There were about students enrolled in public school.
What was the average spending per student? Write your answer in standard form.
To find the average spending per student, divide the total debt by the number of students.
= 0.58 ×109–5
= 0.58 ×104
= $5800

11. 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.

12. Page 16

13. Example 4: Finding Positive Powers of Quotient
Page 20
Simplify. B. A.

14. Page 20
Your Turn 4
Simplify.

15. Remember that What if x is a fraction?.
Therefore,

16. Page 17

17. Example 5: Finding Negative Powers of Quotients
Page 21
Simplify.

18. Your Turn 5
Page 21
Simplify.

19. Classwork
Assignment #3
Holt 7-4 #3 – 5, 8 – 10, 14 – 16

20. Homework Assignment #3 Holt 7-3 #19 – 40, 41 – 51 odd, 54 – 58
KIN 7-5 and 7-6