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Simplifying Expressions Using Exponent Properties

Learn how to simplify expressions using division properties of exponents and scientific notation. Practice with examples and helpful hints included.

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Simplifying Expressions Using Exponent Properties

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  1. Warm Up Simplify. 1.(x2)3 3. 5. 2. 4. 6. Write in Scientific Notation. 7. 8.

  2. Learning Targets Students will be able to: Use division properties of exponents to evaluate and simplify expressions.

  3. A quotient of powers with the same base can be found by writing the powers in a factored form and dividing out common factors.

  4. Simplify. A. B.

  5. Simplify. C. D.

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

  7. Writing Math You can “split up” a quotient of products into a product of quotients: Example:

  8. Simplify and write the answer in scientific notation

  9. Simplify and write the answer in scientific notation.

  10. 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.

  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. Simplify.

  13. Simplify.

  14. Simplify.

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

  16. Simplify.

  17. Simplify.

  18. Simplify.

  19. Simplify.

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