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Exponent Calculator

Enter a **base (x)** and an **exponent (y)** to compute **xy**. RapidRatio evaluates powers in high-precision, showing the step-by-step arithmetic details below the card.

Calculate Exponent

The number being multiplied (can be negative or decimal).
The power to raise the base to (can be negative, fraction, or decimal).

Result

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Enter values and press Calculate.

How to calculate exponents

Exponents represent repeated multiplication of a number by itself.

  • Positive integers: If the exponent is a positive integer, multiply the base by itself that many times. E.g., **23 = 2 × 2 × 2 = 8**.
  • Negative integers: A negative exponent means to divide 1 by the base raised to the positive power. E.g., **2-3 = 1 / 23 = 1 / 8 = 0.125**.
  • Zero power: Any non-zero base raised to the power of 0 is always **1**. E.g., **50 = 1**.
  • Fractional or decimal exponents: A fractional exponent represents roots. E.g., **x1/2** is the square root of **x**, and **x1/3** is the cube root.

FAQ

What is the base and the exponent?

The base is the main number being multiplied. The exponent (often written as a superscript or with a caret `^`) indicates how many times the base is used as a factor.

How do you calculate negative exponents?

Negative exponents represent the reciprocal of the corresponding positive exponent. For example, **b-n = 1 / bn**.

What is a base raised to the power of 0?

Any non-zero base raised to the power of 0 is exactly 1. For example, **1000 = 1**.

Disclaimer. RapidRatio is informational only. Verify all math steps and parameters before completing homework or structural tasks.