Fraction Exponent Calculator

Your details

The number you are raising to a fractional power. Negative bases are supported when the denominator is an odd integer.
The top of the fraction in the exponent. For example, to compute x^(2/3) enter 2 here.
The bottom of the fraction in the exponent. This also controls which root is taken (d = 2 means square root, d = 3 means cube root).
Result
4

x raised to the power n/d

Exponent as decimal0.666667
Method 2 check4
Reciprocal (x^(-n/d))0.25
0.66666733.8% below · Exponent value (n/d)

8^(2/3) = 4

  • Because the exponent 0.666667 is between 0 and 1, the result 4 is between 1 and the base 8.
  • The denominator 3 means this is equivalent to taking the cube root of x raised to the power 2.
  • The negative version of this exponent gives 8^(-2/3) = 0.25.

Next stepUse the "Method 2 check" output to verify both calculation paths give the same answer, which confirms there is no rounding path.

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