Loading calculator...
Loading calculator...
Calculate powers (base raised to an exponent) and roots (nth root of a number).
Exponent and Root Formulas:
Power: b^n = b multiplied by itself n times
Root: nth root of x = x^(1/n)
Square root: x^(1/2), Cube root: x^(1/3)
Negative exponent: b^(-n) = 1 / b^n
An exponent tells you how many times to multiply a number (the base) by itself. For example, 2^3 = 2 x 2 x 2 = 8.
A negative exponent means take the reciprocal. For example, 2^(-3) = 1/2^3 = 1/8 = 0.125.
A fractional exponent represents a root. For example, 8^(1/3) = the cube root of 8 = 2. In general, x^(m/n) = the nth root of x^m.
Any nonzero number raised to the power of 0 equals 1. This is a mathematical convention that keeps the rules of exponents consistent.
2^10 = 1024 (2 multiplied by itself 10 times). 10^2 = 100 (10 multiplied by itself twice). The base and exponent are not interchangeable.