Exponent calculator
Integer powers are computed exactly, however large. Fractional powers go through a 60-digit logarithm rather than a float.
Result
1024
- Reciprocal
- 0.000 976 562 5
- The matching root of the base
- 1.071 773 462 54
- Base squared
- 4
Show the working
- Base = 2
- Exponent = 10
- Result = 2^10 = 1024
- Reciprocal = 1024 != 0 ? 1/1024 : 0 = 0.000 976 563
- Base squared = 2^2 = 4
- The matching root of the base = 2 > 0 && 10 != 0 ? 2^(1/10) : 0 = 1.071 77
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- x^n, with x^-n = 1/x^n and x^(1/n) the nth root of x
2^100 comes out as its full 31-digit integer here, not as 1.2676506002282294e+30.
A negative base with a fractional exponent has no real value, and the calculator says so rather than guessing.