Exponents Calculator
Enter a base and an exponent to calculate the power. This tool supports positive, negative, and decimal exponents.
Formula:
xⁿ = x × x × ... × x (n times)
2³ = 2 × 2 × 2 = 8 5⁻² = 1 / 5² = 0.04 10⁰ = 1
What is an exponent?
An exponent (or power) is a small number written to the upper right of a base number. It tells you how many times to multiply the base by itself. For example, 2³ means 2 × 2 × 2 = 8.
What happens with a negative exponent?
A negative exponent means you take the reciprocal of the base and then apply the positive exponent. For example, 2⁻³ is the same as 1 / 2³, which equals 1/8 or 0.125.
What is a zero exponent?
Any non-zero number raised to the power of zero is always 1. For example, 5⁰ = 1, and 1000⁰ = 1.
How do fractional exponents work?
A fractional exponent indicates a root. x^(1/2) is the square root of x, and x^(1/3) is the cube root of x. The denominator tells you the root, and the numerator tells you the power.
🔗 Related Calculators
📐 Formula
Formula:
xⁿ = x × x × ... × x (n times)
📝 Example Calculation
2³ = 2 × 2 × 2 = 8 5⁻² = 1 / 5² = 0.04 10⁰ = 1
❓ Frequently Asked Questions
What is an exponent?▼
An exponent (or power) is a small number written to the upper right of a base number. It tells you how many times to multiply the base by itself. For example, 2³ means 2 × 2 × 2 = 8.
What happens with a negative exponent?▼
A negative exponent means you take the reciprocal of the base and then apply the positive exponent. For example, 2⁻³ is the same as 1 / 2³, which equals 1/8 or 0.125.
What is a zero exponent?▼
Any non-zero number raised to the power of zero is always 1. For example, 5⁰ = 1, and 1000⁰ = 1.
How do fractional exponents work?▼
A fractional exponent indicates a root. x^(1/2) is the square root of x, and x^(1/3) is the cube root of x. The denominator tells you the root, and the numerator tells you the power.