Exponent Calculator
Raise any base number to any power, including negative exponents and square/cube shortcuts.
Calculate Exponents
b^e = 0
b^(-e) = 0
b^2 = 0
b^3 = 0
About this Calculator
Raise any base number to any power, including negative exponents and square/cube shortcuts.
Formula & Calculations
Formula
base^exponent, base^(-exponent) = 1 / (base^exponent)Where:
- b=The base number to be raised to a power
- e=The exponent (power) to which the base is raised
- b^e=The result of multiplying b by itself e times (or dividing for negative exponents)
Assumptions
- Raising 0 to a negative exponent is undefined (division by zero).
- 0^0 is mathematically controversial but returns 1 in JavaScript.
Calculation Examples
Example 1
Inputs:Base: 2, Exponent: 10
Result:2^10 = 1024
2 multiplied by itself 10 times equals 1024.
Example 2
Inputs:Base: 5, Exponent: -2
Result:5^(-2) = 0.04
A negative exponent means taking the reciprocal: 1 / (5^2) = 1 / 25 = 0.04.
Frequently Asked Questions
What does a negative exponent mean?
A negative exponent means you take the reciprocal of the base raised to the positive exponent. For example, 2^(-3) = 1 / (2^3) = 1/8 = 0.125.
What is any number raised to the power of 0?
Any non-zero number raised to the power of 0 equals 1. For example, 5^0 = 1, 100^0 = 1.