Exponent Calculator Formula

Understand the math behind the exponent calculator. Each variable explained with a worked example.

Use the Exponent Calculator

Formulas Used

Result

result = pow(base_val, exp_val)

Reciprocal

reciprocal = pow(base_val, exp_val) != 0 ? 1 / pow(base_val, exp_val) : 0

Variables

VariableDescriptionDefault
base_valBase2
exp_valExponent10

How It Works

How Exponents Work

Definition

b^n = b × b × b × ... (n times)

Key Rules

  • b^0 = 1 (any nonzero number to the zero power is 1)
  • b^1 = b
  • b^(-n) = 1/b^n
  • b^(m+n) = b^m × b^n
  • (b^m)^n = b^(mn)
  • b^(1/n) = nth root of b

    • Worked Example

    Calculate 2^10.

    base_val = 2exp_val = 10
    1. 012^10 = 2×2×2×2×2×2×2×2×2×2
    2. 02= 1024
    3. 03Reciprocal: 2^(-10) = 1/1024 ≈ 0.000977

    Ready to run the numbers?

    Open Exponent Calculator