Exponent, Root & Logarithm Calculator
Calculate powers, square/cube/nth roots (with radical simplification like √72 = 6√2) and logarithms in any base.
How to use
- 1Choose power, root or logarithm.
- 2Enter the numbers — roots of whole numbers are also shown in simplified radical form.
How it's calculated
Power: bⁿ. Root: ⁿ√x = x^(1/n); simplification pulls out perfect nth-power factors. Log: log_b(x) = ln x ÷ ln b.
Frequently asked questions
How do I simplify a square root?
Find the largest perfect square factor: √72 = √(36 × 2) = 6√2.
Can I take roots of negative numbers?
Odd roots, yes (∛−8 = −2). Even roots of negative numbers aren't real numbers.
What's the natural log?
Log base e ≈ 2.71828. Choose base e, or enter 2.718281828.