7 4 Division Properties of Exponents Warm Up

7 -4 Division Properties of Exponents Warm Up Simplify. 1. (x 2)3 2. 3. 4. 5. 6. Write in Scientific Notation. 7. 8. Holt Algebra 1

7 -4 Division Properties of Exponents Learning Targets Students will be able to: Use division properties of exponents to evaluate and simplify expressions. Holt Algebra 1

7 -4 Division Properties of 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. Holt Algebra 1

7 -4 Division Properties of Exponents Simplify. A. Holt Algebra 1 B.

7 -4 Division Properties of Exponents Simplify. C. Holt Algebra 1 D.

7 -4 Division Properties of Exponents Helpful Hint Both Holt Algebra 1 and 729 are considered to be simplified.

7 -4 Division Properties of Exponents Writing Math You can “split up” a quotient of products into a product of quotients: Example: Holt Algebra 1

7 -4 Division Properties of Exponents Simplify and write the answer in scientific notation Holt Algebra 1

7 -4 Division Properties of Exponents Simplify and write the answer in scientific notation. Holt Algebra 1

7 -4 Division Properties of Exponents 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. The average spending per student is $5, 800. Holt Algebra 1

7 -4 Division Properties of 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. Holt Algebra 1

7 -4 Division Properties of Exponents Simplify. Holt Algebra 1

7 -4 Division Properties of Exponents Simplify. Holt Algebra 1

7 -4 Division Properties of Exponents Simplify. Holt Algebra 1

7 -4 Division Properties of Exponents Remember that . What if x is a fraction? Therefore, Holt Algebra 1

7 -4 Division Properties of Exponents Simplify. Holt Algebra 1

7 -4 Division Properties of Exponents Simplify. Holt Algebra 1

7 -4 Division Properties of Exponents Simplify. Holt Algebra 1

7 -4 Division Properties of Exponents Simplify. Holt Algebra 1