6 2 properties of exponents
- 2. Product of Powers Power of a Power Power of a Product Properties of Exponents For each property below: let a and b be real numbers and let m and n be integers.
- 3. Negative Exponents Zero Exponent Quotient of Powers Power of a Quotient Properties Cont.
- 5. Evaluate each expression: You Try!
- 6. A simplified expression contains no negative exponents! Examples: Simplifying Algebraic Expressions
- 8. Scientific Notation A number is written in scientific notation when it has the form: where and b is an integer. Example:
- 9. Writing in Scientific Notation Move decimal point until it is behind the first non-zero number. The # of spaces moved is the exponent in “ x 10? ” If you moved LEFT: exp. is + If you moved RIGHT: exp. is -
- 10. Examples: Write in scientific notation: 5400000 0.009 48900
- 11. You Try! Write in scientific notation: 0.000216 384000000
- 12. Writing in Std. Form Exponent tells how far to move the decimal. For + exponents: move RIGHT For – exponents: move LEFT
- 13. Examples: Write in Standard Form:
- 14. You Try! Write in Standard Form:
- 15. Multiplying To multiply: Multiply “front” numbers Add exponents Rewrite in scientific notation if needed. Example:
- 17. Dividing To divide: Divide “front” numbers. Subtract exponents. Rewrite in scientific notation if needed. Example: