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

The easy way to solve expressions with fractional exponents

See also

Suppose we have a problem like 4^1/4. Those who are relatively new to exponents may be confused. Yet we can easily solve this problem. We simply put the denominator to the top left of the square root sign, such that it is clear that the problem is asking for the 4th root of the number 4. The denominator is placed to the upper left of the square root sign, and the base is eplaced under the square root sign, as we have already seen. Keep in mind that, strictly speaking, the expression 4^1/4 is a meaningless expression. It has no answer because 4 has no 4th root. It does, however, have a square root. Thte square root is expressed by 4^1/2. The reason for this, keep in mind, is that when we ordinarily see a number under a square root symbol, the implied number to the top left of the square root symbol is 2. This is asking for the "2nd" root, or the square root.



  • 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