⚡ Exponent Calculator
Raise any base to any power, including negative and fractional exponents.
About this tool
Calculates a base number raised to any exponent, including negative exponents (which give a fraction), fractional exponents (which behave like roots), and zero (which always gives 1, per standard mathematical convention).
Automatically switches to scientific notation for extremely large or extremely small results so the display stays readable.
Worked example
2^10 = 1,024. 10^−2 = 0.01. 8^(1/3) = 2, since fractional exponents work like roots.
How to use it
- Enter the base number.
- Enter the exponent — this can be positive, negative, zero, or a decimal.
- Press Calculate.
Tips
- A negative exponent means "1 divided by the base raised to the positive exponent" — for example, 2^−3 equals 1/8.
- A fractional exponent like 1/2 is the same as a square root; 1/3 is the same as a cube root, and so on.
- Any nonzero number raised to the power of 0 equals 1 — this is a mathematical convention, not a coincidence of the specific base.
FAQ
What does a negative exponent mean?
It means take the reciprocal: b^−n equals 1 / (b^n). For example, 5^−2 = 1/25 = 0.04.
What's the difference between this and the Square Root Calculator?
They're mathematically related — a fractional exponent like 1/2 or 1/3 computes the same thing as a square or cube root — but this tool is framed around powers generally, while the root calculator is framed around solving for roots specifically.
What does any number to the power of 0 equal?
1, by mathematical convention — this holds for any nonzero base.
From the blog: getting the most out of this tool
Exponents show up everywhere from compound interest to computer science (powers of 2) to scientific notation, and the two cases people most often get tripped up on are negative exponents and fractional ones — both are supported here rather than restricted to positive whole numbers.
We added scientific notation formatting for very large or very small results specifically because raising even a modest base to a moderately large exponent (like 2^100) produces a number too long to read comfortably as plain digits.