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SIMPLIFYING EXPESSIONS WITH EXPONENT PROPERTIES

Exponent Express. SIMPLIFYING EXPESSIONS WITH EXPONENT PROPERTIES. EXPONENT EXPRESS. Use the Exponent Express guide to follow along with the instruction. If you need a copy of the guide, click here to open and print it in Word.

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SIMPLIFYING EXPESSIONS WITH EXPONENT PROPERTIES

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  1. Exponent Express SIMPLIFYING EXPESSIONS WITH EXPONENT PROPERTIES

  2. EXPONENT EXPRESS Use the Exponent Express guide to follow along with the instruction. If you need a copy of the guide, click here to open and print it in Word. Or, if you’d just like to practice, skip ahead to here and choose either easy, medium, or hard practice problems.

  3. ZERO EXPONENT PROPERTY For every nonzero number a, a 0 = 1

  4. For example, = = =

  5. Try it! = =

  6. Answers = =

  7. NEGATIVE EXPONENT PROPERTY For every nonzero number a and integer n, a - n =

  8. For example, = = =

  9. Try it! = =

  10. Answers = =

  11. MULTIPLYING POWERS WITH THE SAME BASE For every nonzero number a and integers m and n, =

  12. For example, = = =

  13. Try it! = =

  14. Answers = =

  15. RAISING A POWER TO A POWER PROPERTY For every nonzero number a and integers m and n, =

  16. For example, = = =

  17. Try it! = =

  18. Answers = =

  19. DIVIDING POWERS WITH THE SAME BASE For every nonzero number a and integers m and n, =

  20. For example, = = =

  21. Try it! = =

  22. Answers = =

  23. RAISING A QUOTIENT TO A POWER For every nonzero number a and integers m and n, =

  24. For example, = = =

  25. Try it! = =

  26. Answers = =

  27. Ready to practice? SIMPLIFYING WITH EXPONENTS PRACTICE SIMPLIFYING WITH EXPONENTS PRACTICE Need some more help before practicing? SHORT VIDEO CLIP TUTORIALS

  28. SIMPLIFYING WITH EXPONENTS PRACTICE Easy Easy Medium Medium Hard Hard

  29. Easy - Problem #1 = 0 1 1 Back to problem levels

  30. Not quite... In this problem, you forgot that any value to the zero power equals 1.

  31. Perfect! YOU GOT IT RIGHT! In this problem, you remembered that any value to the zero power equals 1.

  32. Easy - Problem #2 =

  33. Not quite... In this problem, you only need to send the “x” to the denominator. The exponent only relates to the variable since there are not parentheses around the “6x.”

  34. Perfect! YOU GOT IT RIGHT! In this problem, you remembered that the exponent “-8” only relates to “x” so 6 should stay in the numerator.

  35. Easy - Problem #3 =

  36. Not quite... In this problem, the exponents need to be added since two terms with the same base are being multiplied.

  37. Perfect! YOU GOT IT RIGHT! You remembered that the exponents need to be added since two terms with the same base are being multiplied.

  38. Easy - Problem #4 =

  39. Not quite... In this problem, the exponents need to be multiplied since you are raising a power to a power.

  40. Perfect! YOU GOT IT RIGHT! You remembered that exponents need to be multiplied since you are raising a power to a power.

  41. Easy - Problem #5 =

  42. Not quite... In this problem, both “8” and “y” both need to be squared since they are both in parentheses.

  43. Perfect! YOU GOT IT RIGHT! You remembered to square both the “8” and the “y” since they were both in the parentheses.

  44. Easy - Problem #6 =

  45. Not quite... In this problem, the numerator and the denominator have the same base so the exponents should be subtracted. (numerator exponent minus denominator exponent)

  46. Perfect! YOU GOT IT RIGHT! You remembered to subtract the exponents since the numerator and the denominator had the same base.

  47. Easy - Problem #7 =

  48. Not quite... In this problem, the numerator and the denominator have the same base so the exponents should be subtracted. (numerator exponent - denominator exponent)

  49. Perfect! YOU GOT IT RIGHT! You remembered to subtract the exponents since the numerator and the denominator had the same base. End Exponent Express Continue on to next level

  50. Medium - Problem #1 =

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