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Exponents & Roots — 25-Question Test
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Formula Reference Sheet
This chapter
Laws of exponents
| Product | aᵐ · aⁿ = aᵐ⁺ⁿ |
|---|---|
| Quotient | aᵐ / aⁿ = aᵐ⁻ⁿ |
| Power of a power | (aᵐ)ⁿ = aᵐⁿ |
| Power of a product | (ab)ⁿ = aⁿ bⁿ |
| Zero & negative | a⁰ = 1 (a ≠ 0); a⁻ⁿ = 1/aⁿ |
Roots & radicals
| Fractional exponent | a^(m/n) = ⁿ√(aᵐ) = (ⁿ√a)ᵐ |
|---|---|
| Product / quotient of roots | √a · √b = √(ab); √a / √b = √(a/b) |
| Simplify a radical | √(k²·m) = k√m (pull out perfect squares) |
| Scientific notation | a × 10ⁿ with 1 ≤ a < 10 |
GRE reference
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