Exponent Calculator

Calculate powers, roots, and exponential expressions

Formula

x^y = e^(y × ln(x))

Exponentiation is calculated using the natural exponential and logarithm functions. This handles all real numbers including negative and fractional exponents.

How to Calculate Manually

1
Enter the base number (x)
2
Enter the exponent (y)
3
Calculator computes x^y
4
Handles negative, fractional, and decimal exponents
5
Shows result in decimal and scientific notation

Reference Table

Expression	Name	Example	Result
x^2	Square	5^2	25
x^3	Cube	3^3	27
x^(-1)	Reciprocal	2^(-1)	0.5
x^(1/2)	Square Root	16^(1/2)	4
x^(1/3)	Cube Root	27^(1/3)	3
x^0	Zeroth Power	5^0	1

Exponent Calculator: Understanding Powers and Roots

Exponents are a shorthand for repeated multiplication. They appear everywhere in mathematics, science, and finance. Understanding how to calculate and manipulate exponents is fundamental...

Frequently Asked Questions

What is a negative exponent? x^(-n) = 1/(x^n). For example, 2^(-3) = 1/(2^3) = 1/8 = 0.125.: x^(-n) = 1/(x^n). For example, 2^(-3) = 1/(2^3) = 1/8 = 0.125.
What is a fractional exponent? x^(1/n) is the nth root of x. x^(m/n) = (x^(1/n))^m = (nth root of x)^m.: x^(1/n) is the nth root of x. x^(m/n) = (x^(1/n))^m = (nth root of x)^m.
What is 0^0? 0^0 is mathematically undefined, but in many contexts it's defined as 1 for convenience. This calculator returns 1.: 0^0 is mathematically undefined, but in many contexts it's defined as 1 for convenience. This calculator returns 1.

Calculator

Formula

Formula

How to Calculate Manually

Reference Table

Exponent Calculator: Understanding Powers and Roots

Frequently Asked Questions

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