Equations with Rational Exponents (Grade 12 NSC Matric Mathematics): Flashcards

Exponents written in fractional form

The root (e.g., square root, cube root)

The power

Reciprocal power $n/m$

$x^{m/n}$

When dealing with even exponents

Negative bases with even roots are undefined in real numbers

Convert to exponential form

$x^{m/n} = (\sqrt[n]{x})^m = (x^m)^{1/n}$

$4$