Exponent Calculator
Raise any number to a power and get the exact answer for whole numbers, every digit of it, plus scientific notation for results of any size.
An exponent calculator multiplies a number by itself as many times as the exponent says: 2 to the 10th is 2 multiplied by itself ten times, 1,024. This one gives exact answers whenever the base and exponent are whole numbers, so 2 to the 100th shows all 31 digits instead of a rounded float, turns negative powers into exact fractions such as 1/8, and writes every result in scientific notation as well.
This calculator does not give exact answers for decimal bases or decimal exponents, which are rounded floating-point results, and it does not cover complex numbers; whole-number powers are exact up to 2,000 digits.
210
1,024
- Scientific notation
- 1.024000000 × 10^3
- Digits
- 4
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About the Exponent Calculator
Most calculators round large powers because they store numbers in 64-bit floating point, which keeps about 16 significant digits. This one switches to exact integer arithmetic whenever the base and the exponent are whole numbers, so 2^100 comes out as 1,267,650,600,228,229,401,496,703,205,376 with all 31 digits correct, and answers with up to 2,000 digits are shown in full behind a show all digits link. A negative exponent means one over the positive power: 2^-3 is 1/8, shown both as that exact fraction and as 0.125. The sign of a negative base depends on whether the exponent is odd or even, so (-2)^3 is -8 and (-2)^4 is 16. Decimal exponents are roots in disguise, 2 to the power one half being the square root of 2, and are worked out in floating point, so the page labels them as rounded. A negative base with a decimal exponent has no real answer and the calculator says so. Results too large for floating point, such as 2^100000, still get their scientific notation from logarithms.
Frequently asked questions
What is a negative exponent?+
It means divide instead of multiply. 2^-3 is 1 divided by 2^3, which is 1/8 or 0.125. The calculator shows the exact fraction for whole-number bases and the decimal beside it, so you can see both forms a teacher might ask for.
What is 0 to the power of 0?+
This calculator gives 1, the convention most algebra courses and programming languages use, because it keeps rules such as x^0 = 1 working everywhere. Some branches of mathematics leave 0^0 undefined, so check what your course expects. Zero to a negative power has no value at all, since it would mean dividing by zero.
Why does my phone calculator give a different answer for big powers?+
Phone and spreadsheet calculators keep about 15 or 16 significant digits and round the rest, so 7^22 shows up as something like 3.90982104858299E+18. The exact value is 3,909,821,048,582,988,049. This page computes whole-number powers exactly, so every digit is right, and gives the rounded scientific form alongside.
Can I use fractional exponents?+
Yes, type a decimal exponent: one half for a square root, one quarter for a fourth root. The answer is rounded, and the page says so. For a negative base, use a whole-number exponent; for the cube root of a negative number, use the square root calculator's cube root option, which gives the real root and is exact for perfect cubes such as -27.
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