Exponent Calculator - Power Rules, Laws of Exponents | 8gwifi.org

Exponent Calculator

Master all laws of exponents: product, quotient, power, negative, zero, and fractional

Exponent Tools
Calculate basic powers:
Compute an where a is the base and n is the exponent
Can be negative, zero, or fractional
Examples:
25 = 32
3-2 = 1/9 ≈ 0.111
161/2 = √16 = 4
50 = 1
Apply exponent laws:
Choose a rule and see step-by-step application
Simplify complex expressions:
Enter an expression with multiple exponent operations
Simplification Examples:
(a²)³ × a⁴ = a⁶ × a⁴ = a¹⁰
a⁸ ÷ (a²)³ = a⁸ ÷ a⁶ = a²
(a³b²)⁴ = a¹²b⁸
See all exponent laws with examples
Guide

The 8 Laws:

1. Product: aᵐ × aⁿ = aᵐ⁺ⁿ
2. Quotient: aᵐ ÷ aⁿ = aᵐ⁻ⁿ
3. Power: (aᵐ)ⁿ = aᵐⁿ
4. Product Power: (ab)ⁿ = aⁿbⁿ
5. Quotient Power: (a/b)ⁿ = aⁿ/bⁿ
6. Negative: a⁻ⁿ = 1/aⁿ
7. Zero: a⁰ = 1
8. Fractional: aᵐ/ⁿ = ⁿ√(aᵐ)

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