Power & Roots Calculator
Enter a base number and exponent to instantly compute the power (base^exp) along with the square root, cube root, log base 10, and natural logarithm of the base. All key operations in one place — no need to switch between tools.
Frequently Asked Questions
An exponent tells you how many times to multiply a number (the base) by itself. For example, 4³ = 4 × 4 × 4 = 64. Fractional exponents represent roots: 4^0.5 = √4 = 2.
In real numbers, no number multiplied by itself gives a negative result. Therefore, the square root of negative numbers is undefined in real arithmetic (it exists in complex numbers as an imaginary number). The cube root of negative numbers is defined, however.
How this calculator works
Formula explanation
**Formulas:** Power = base^exp | √x = x^(1/2) | ∛x = x^(1/3) | log₁₀(x) = log(x)/log(10) | ln(x) = natural log of x
Worked example
**Example:** Base = 4, Exponent = 3 → 4³ = 64 | √4 = 2 | ∛4 ≈ 1.587 | log₁₀(4) ≈ 0.602 | ln(4) ≈ 1.386.
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