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An exponent refers to the number of times a number (known as the base) is multiplied by itself. It's a quick way to write repeated multiplication.
In the formula ab:
2³ = 2 × 2 × 2 = 8
5² = 5 × 5 = 25
10³ = 10 × 10 × 10 = 1000
A negative exponent signifies division rather than multiplication. Specifically, a-n = 1 / an. For example, 2-3 = 1 / 2³ = 1 / 8 = 0.125.
A fractional exponent corresponds to finding a root. For instance, x1/2 is the square root of x, and x1/3 is the cube root.
An exponent shows how many times a base number is multiplied by itself. For example, in 2³, the base is 2 and the exponent is 3, meaning 2 is multiplied by itself 3 times (2 × 2 × 2).
You multiply the base number by itself as many times as the exponent indicates. Our calculator automates this step for you instantly.
Simply enter your base and exponent values into the respective fields. The calculator uses real-time mathematical processing to instantly provide the precise result and step-by-step breakdown.
Yes, the calculator fully supports negative exponents. A negative exponent translates to 1 divided by the base raised to the positive exponent (e.g., 2⁻² = 1/2² = 0.25).
Yes, decimal exponents are perfectly valid. They mathematically represent root operations combined with powers.
Zero raised to any positive power is zero. Zero raised to the power of zero is mathematically undefined. Zero to a negative power involves division by zero and is also undefined.
The base is the primary number that gets multiplied. The exponent (the smaller raised number) dictates how many times the base is used in the multiplication.
Yes, this Exponent Calculator is 100% free to use online, directly in your browser without any required downloads.