Exponent Calculator
How It Works
This exponent calculator uses established formulas to provide accurate results.
The basic rule:
- a^n = a × a × a × ... (n times)
- a^0 = 1 (for a ≠ 0)
- a^(-n) = 1 / a^n
- a^m × a^n = a^(m+n)
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
What is an exponent?
An exponent tells you how many times to multiply a number (the base) by itself. In 3⁴, 3 is the base and 4 is the exponent, meaning 3 × 3 × 3 × 3 = 81.
What is any number raised to the power of 0?
Any non-zero number raised to the power of 0 equals 1. For example, 5⁰ = 1 and 100⁰ = 1. This is a mathematical rule that keeps the pattern of exponents consistent.
What is a negative exponent?
A negative exponent means take the reciprocal. a^(-n) = 1/(a^n). For example, 2^(-3) = 1/2³ = 1/8 = 0.125.
What is the difference between squared and cubed?
Squared means raised to the power of 2 (e.g., 5² = 25). Cubed means raised to the power of 3 (e.g., 5³ = 125). These names come from geometry: area of a square uses side², volume of a cube uses side³.