Calculate exponential operations including power (a^b), natural exponential (e^x), powers of 10 and 2, and nth roots with step-by-step solutions.
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Calculate exponents and powers instantly. Compute a^b (power), e^x (natural exponential), 10^x (powers of 10), 2^x (powers of 2), and nth roots with detailed step-by-step solutions.
An exponent indicates how many times a number (base) is multiplied by itself. In a^b, 'a' is the base and 'b' is the exponent. For example, 2^3 = 2×2×2 = 8. Special cases include e^x (natural exponential) and roots which are fractional exponents (√a = a^(1/2)).
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Powers of 2 for bytes, KB, MB, GB calculations.
Powers of 10 for expressing very large or small numbers.
Calculate any power or exponential instantly
Supports natural exponential (e^x)
Calculate powers of 10 and 2
Find nth roots of any number
Shows step-by-step calculations
Any non-zero number raised to the power of 0 equals 1. This is because a^n / a^n = a^(n-n) = a^0 = 1. Note: 0^0 is mathematically undefined.
A negative exponent means the reciprocal: a^(-n) = 1/a^n. For example, 2^(-3) = 1/2^3 = 1/8 = 0.125.
e ≈ 2.71828 is a mathematical constant that appears naturally in calculus, compound interest, and growth models. e^x is called the natural exponential function.
They are inverse operations. An exponent multiplies a base by itself (2^3 = 2 x 2 x 2 = 8), while an nth root asks which number, raised to the nth power, gives the value (the cube root of 8 is 2). A root can be written as a fractional exponent: the nth root of x equals x^(1/n).