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Review of Exponents

Review of Exponents. Exponents are mathematician's shorthand. Exponents of Negative Values. When we multiply negative numbers together, we must utilize parentheses to switch to exponent notation.                                (-3)(-3)(-3)(-3)(-3)(-3) = (-3) 6

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Review of Exponents

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  1. Review of Exponents Exponents are mathematician's shorthand.

  2. Exponents of Negative Values When we multiply negative numbers together, we mustutilize parentheses to switch to exponent notation.                               (-3)(-3)(-3)(-3)(-3)(-3) = (-3)6            BEWARE!!-36 is NOT the same as (-3)6 The missing parentheses mean that -36 will multiply six 3's together first (by order of operations), and then take the negative of that answer. (-3)6 = 729     but      -36 = -729so be careful with negative values and exponents !

  3. Note:  Even powers of negative numbersallow for the negative values to be arranged in pairs.  This pairing guarantees that the answer will always be positive. (-5)6 = (-5)•(-5)  •   (-5)•(-5)   •   (-5)•(-5)   ← All pairs.=     25       •       25       •       25 =  15625   (a positive answer)

  4. Odd powers of negative numbers, however, always leave one factor of the negative number not paired.  This one lone negative term guaranteesthat the answer will always be negative. (-5)5 = (-5)•(-5)  •   (-5)•(-5)   •   (-5)←One lone, un-paired, negative. =     25       •       25       •   (-5) =  -3125   (a negative answer)

  5. Zero Exponents • The number zero may be used as an exponent. The value of any expression raised to the zero power is 1.(Except zero raised to the zero power is undefined.) 

  6. Negative Exponents • Negative numbers as exponents have a special meaning. The rule is as follows: base negative exponent  = 

  7. Directions:  For the following problems, choose an answer from among the multiple choices.  

  8. Directions:  For the following problems, choose an answer from among the multiple choices.  

  9. Directions:  For the following problems, choose an answer from among the multiple choices.  

  10. Directions:  For the following problems, choose an answer from among the multiple choices.  

  11. Directions:  For the following problems, choose an answer from among the multiple choices.  

  12. Directions:  For the following problems, choose an answer from among the multiple choices.  

  13. Directions:  For the following problems, choose an answer from among the multiple choices.  

  14. Directions:  For the following problems, choose an answer from among the multiple choices.  

  15. Directions:  For the following problems, choose an answer from among the multiple choices.  

  16. Directions:  For the following problems, choose an answer from among the multiple choices.  

  17. Directions:  For the following problems, choose an answer from among the multiple choices.  

  18. Directions:  For the following problems, choose an answer from among the multiple choices.  

  19. Directions:  For the following problems, choose an answer from among the multiple choices.  

  20. Directions:  For the following problems, choose an answer from among the multiple choices.  

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