Laws of exponents, fractional and negative exponents, simplifying radicals.
Memorise these. They show up everywhere:
x^a · x^b = x^(a + b)x^a / x^b = x^(a − b)(x^a)^b = x^(ab)x⁰ = 1 (for any non-zero x)x^(−n) = 1 / x^nx^(1/n) = ⁿ√x ; x^(m/n) = (ⁿ√x)^mTo simplify a radical like √72, factor the radicand and pull out perfect squares: √72 = √(36·2) = 6√2.
(2x³)² · x⁻⁴.(2x³)² = 4x⁶4x⁶ · x⁻⁴ = 4x^(6 − 4) = 4x²√72.√72 = √36 · √2 = 6√28 questions on exponent laws, fractional/negative exponents, scientific notation, and simplifying radicals.