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Evaluating Exponents of Negative Numbers

Evaluating Exponents of Negative Numbers An exponent is a number that tells how many times the base number is used as a factor. For example, 3 4 indicates that the base number 3 is used as a factor 4 times. To determine the value of 3 4 , multiply 3*3*3*3 which would give the result 81.

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Evaluating Exponents of Negative Numbers

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  1. Evaluating Exponents of Negative Numbers An exponent is a number that tells how many times the base number is used as a factor. For example, 34 indicates that the base number 3 is used as a factor 4 times. To determine the value of 34, multiply 3*3*3*3 which would give the result 81.

  2. Evaluating Exponents of Negative Numbers If a negative number is raised to an even power, the result will be positive. (-2)4 = -2 * -2 * -2 * -2 = 16 If a negative number is raised to an odd power, the result will be negative. (-2)5 = -2 * -2 * -2 * -2 * -2 = -32

  3. Evaluating Exponents of Negative Numbers The negative number must be enclosed by parentheses to have the exponent apply to the negative term. Note that (-2)4 = -2 * -2 * -2 * -2 = 16 and -24 = -(2 * 2 * 2 * 2) = -16 Exponents are written as a superscript number (e.g. 34) or preceded by the caret (^) symbol (e.g. 3^4). http://www.aaamath.com/exp-int-eval-exp.htm

  4. http://www.mathsisfun.com/algebra/exponent-laws.html

  5. Raise integers to powers

  6. Raise integers to powers

  7. Raise integers to powers

  8. Raise integers to powers

  9. Apply the quotient of powers property to monomial algebraic expressions

  10. Apply the quotient of powers property to monomial algebraic expressions

  11. Apply the quotient of powers property to monomial algebraic expressions

  12. Apply the quotient of powers property to monomial algebraic expressions

  13. Apply the product of powers property to a monomial algebraic expression

  14. Apply the product of powers property to a monomial algebraic expression

  15. Apply the product of powers property to a monomial algebraic expression

  16. Apply the product of powers property to a monomial algebraic expression

  17. Evaluate a zero or negative power of an integer

  18. Evaluate a zero or negative power of an integer

  19. Evaluate a zero or negative power of an integer

  20. Apply the power of a power property to a monomial algebraic expression

  21. Apply the power of a power property to a monomial algebraic expression

  22. Apply the power of a power property to a monomial algebraic expression

  23. Apply the power of a power property to a monomial algebraic expression

  24. Apply the power of a product property to a monomial algebraic expression

  25. Apply the power of a product property to a monomial algebraic expression

  26. Apply the power of a product property to a monomial algebraic expression

  27. Apply the power of a product property to a monomial algebraic expression

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