Rational Exponents (Grade 10 NSC Matric Mathematics): Flashcards

Exponents as fractions (power + root combined)

The nth root of $a$

$\sqrt{a}$ (square root)

$\sqrt[3]{a}$ (cube root)

$\sqrt[n]{a^m}$ or $(\sqrt[n]{a})^m$

Which root to take

Which power to apply

Add exponents: $x^{a+b}$

$1$

Convert decimals to fractions to find perfect powers