Exponent Calculator

Calculate powers and exponential expressions quickly and accurately. Supports positive, negative, and decimal exponents.

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Result: 8

Understanding Exponents

An exponent (or power) indicates how many times a number is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

Key Rules of Exponents

  • Multiplication Rule: xa × xb = xa+b
  • Division Rule: xa ÷ xb = xa-b
  • Power Rule: (xa)b = xa×b
  • Zero Rule: x0 = 1 (for x ≠ 0)
  • Negative Rule: x-n = 1/xn

Special Cases

  • Any number raised to 1 equals itself
  • 1 raised to any power equals 1
  • Negative numbers raised to even powers give positive results
  • Negative numbers raised to odd powers give negative results
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