Exponent Calculator

Calculate exponents and powers instantly. Support for positive, negative, and fractional exponents with step-by-step explanations.

Exponent Calculator

Calculate powers and exponents with support for positive, negative, and fractional exponents

What is an Exponent?

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

Powers of 2:

2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^6 = 64
2^7 = 128
2^8 = 256
2^9 = 512
2^10 = 1,024

Types of Exponents:

  • Positive: 2³ = 8 (multiply 2 three times)
  • Zero: 5⁰ = 1 (any number⁰ = 1)
  • Negative: 2⁻³ = 1/8 = 0.125
  • Fractional: 4^(1/2) = √4 = 2

Laws of Exponents:

  • a^m × a^n = a^(m+n)
  • a^m ÷ a^n = a^(m-n)
  • (a^m)^n = a^(m×n)
  • (ab)^n = a^n × b^n

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