Exponent Calculator — How to Calculate Powers
Calculate powers a^b with a clear example 2^10 = 1024. Notes overflow to Infinity for huge magnitudes and NaN cases for some negative bases with non-integer exponents. Browser learning tool paired with logs and scientific notation.
How it works
Enter base a and exponent b. The page returns a^b. Negative bases with non-integer exponents may yield NaN in real arithmetic and are treated as errors.
Formula
Exponentiation a^b:
- a^b means multiply a by itself b times when b is a non-negative integer.
- Fractional and negative exponents follow real-power rules via Math.pow.
- 0^0 is treated as 1 here (common programming convention) — note the debate.
- Pair with the logarithm page to check that log_a(a^b)=b when defined.
Example
Example: 2^10 = 1024.
When to use it
- Homework: evaluate simple powers like 2^10.
- Check scientific-notation scale factors.
- Cross-check logs with inverse powers.
Frequently asked questions
What is 0^0 on this page?
Treated as 1 (common JS convention); mathematics debates the value.
Why can negative bases fail?
Non-integer real powers of negatives are often NaN in JS.
Can results be Infinity?
Yes for very large magnitudes — this is not arbitrary-precision math.
How to check with logs?
When defined, log_a(a^b) should return about b.
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Questions or feedback
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