Fractional Exponents

contents: fractional exponents calculator:

^


X = 0




explanation:

Fractional exponents are often used to show roots. When used to show roots, the simplest way of putting the exponent is 1 divided by the root. For example, 7(1/3) is equal to 3√7. Work for this calculator isn't shown because it's very rare for a student to need to know how to calculate fractional exponents without a calculator.

practice problems:

To fully understand this concept, it is important to utilize your knowledge through problems. Rather than creating your own, you can simply use some of the ones from our collection of fractional exponents practice problems below. They are categorized into three different categories: easy, medium, and hard. It is recommended you begin with the easy problems and work your way up from there. If you are having difficulties solving any of the problems, you may use our fractional exponents calculator which will calculate the answer and provide steps on how the problem was solved. You may also use the calculator to check you got the correct answer.

        easy:

1.) 3(1/2) = ?
2.) 12(1/3) = ?
3.) 31(1/4) = ?
4.) 38(2/4) = ?
5.) 27(1/2) = ?
6.) 42(3/5) = ?
7.) 83(1/4) = ?
8.) 38(1/3) = ?
9.) 108(1/4) = ?
10.) 128(4/5) = ?

        medium:

1.) 235(1/8) = ?
2.) 428(1/4) = ?
3.) 942(2/14) = ?
4.) 388(1/18) = ?
5.) 1,489(1/12) = ?
6.) 3,428(5/13) = ?
7.) 2,128(3/12) = ?
8.) 1,389(5/21) = ?
9.) 3,282(1/11) = ?
10.) 5,128(2/17) = ?

        hard:

1.) 481(1/21) = ?
2.) 1,231(3/11) = ?
3.) 35,231(1/6) = ?
4.) 4,288(5/15) = ?
5.) 12,861(12/25) = ?
6.) 26,348(24/64) = ?
7.) 352,235(35/61) = ?
8.) 234,828(12/93) = ?
9.) 1,348,345(16/29) = ?
10.) 324,348,929(25/653) = ?