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

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.

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

Both and 729 are considered to be simplified. Helpful Hint

Your Turn 1 Page 18 Simplify.

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

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

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

Example 3: Economic Application Page 19 Example 3: Economic Application The Colorado Department of Education spent about dollars in fiscal year 2004-05 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

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.

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

Page 20 Your Turn 4 Simplify.

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

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

Your Turn 5 Page 21 Simplify.

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

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