Rational Indices (VCE SSCE Mathematical Methods): Flashcards

Fractional powers

$\sqrt[n]{a}$

$a^{\frac{1}{2}}$

$-2$ (odd roots allow negatives)

$(a^{\frac{1}{n}})^m$

Root (take nth root)

$\frac{1}{3}$ (negative = reciprocal)

$a^{p+q}$ (add indices)

$a^{p-q}$ (subtract indices)

$a^{p \times q}$ (multiply indices)