Rational Exponents
Evaluate rational exponents a^(p/q)=(q-th root of a)^p; multiplication, division and power rules with rational exponents; simplify expressions with rational exponents.
6 worksheetsRead the explainer →
- 1Evaluate Rational ExponentsEvaluate a^(1/n) as the nth root; evaluate a^(p/q) = (q-th root of a)^p. Examples: 8^(2/3)=4.adaptive
- 2Multiplication with Rational ExponentsApply product rule with fractional exponents; x^(1/2) * x^(1/3) = x^(5/6).adaptive
- 3Division with Rational ExponentsApply quotient rule with fractional exponents; x^(2/3) / x^(1/3) = x^(1/3).adaptive
- 4Power Rule with Rational ExponentsApply power rule (x^(1/2))^4 = x^2; raise rational-exponent expressions to integer powers.adaptive
- 5Simplify Expressions with Rational Exponents ISimplify single-variable rational exponent expressions; write results with positive exponents.adaptive
- 6Simplify Expressions with Rational Exponents IIMulti-variable rational exponent simplification; combined product, quotient and power rules.adaptive