Skip to main content
  1. Life
  2. Education & Schools
  3. General Education

Negative fractional exponents

See also

Suppose we have a fraction that is raised to such and such a negative fractional exponent. For example, suppose we have 16/81^-1/3. What do we do in such a case? First, we invert the fraction so that it reads 81/16, and then we turn the fractional exponent -1/3 to its positive counterpart, 1/3. Now, when we say that we are looking for 30/4^1/3, all this means is that we are looking for the cubed root of 81/16. We deal with the cubed roots of the numerator and the denominator separately. The cubed root of 16 is 4 and the cubed root of 81 is 27. Therefore, the answer is 27/4.



  • Johnny Manziel
    Should Johnny Manziel apologize for his hard partying over the offseason?
    Today's Buzz
  • Crop circles
    Similar crop circles appeared in Germany and England within days of each other
    19 Photos
  • Advanced placement
    The AP program is gaining traction as a key component in college admissions
    5 Photos
  • Beach hats
    Beat the heat with the best summer beach hats for women
    Beach Hats
  • Expectations for ministry
    Pastor preaches to newly ordained ministers about expectations for ministry
    6 Photos
  • Medical symptoms
    See which symptoms should cause you to seek a doctor’s attention right away
    6 Photos