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Laws of exponents formulas
9 formulas for Laws of exponents, from the Algebra section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Product | aᵐ · aⁿ = aᵐ⁺ⁿ | |
| Quotient | aᵐ / aⁿ = aᵐ⁻ⁿ | |
| Power of a power | (aᵐ)ⁿ = aᵐⁿ | |
| Power of a product | (ab)ⁿ = aⁿbⁿ | |
| Power of a quotient | (a/b)ⁿ = aⁿ / bⁿ | |
| Zero exponent | a⁰ = 1 | a ≠ 0 |
| Negative exponent | a⁻ⁿ = 1 / aⁿ | |
| Fractional exponent | a^(m/n) = ⁿ√(aᵐ) | |
| Root product | ⁿ√a · ⁿ√b = ⁿ√(ab) |
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