Algebraic Techniques (HSC SSCE Mathematics Advanced): Flashcards

How many times a number is multiplied by itself

The number being multiplied

$a^m \times a^n = a^{m+n}$

$a^m \div a^n = a^{m-n}$

$(a^m)^n = a^{mn}$

$(ab)^n = a^n \times b^n$

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

$\sqrt[n]{a}$ (the nth root of a)

Which root to take

When bases are the same