Revision of Exponent Laws (Grade 10 NSC Matric Mathematics): Flashcards

Shorthand for repeated multiplication

$a^0 = 1$ for any non-zero $a$

$a^{-n} = \frac{1}{a^n}$

$a^m \times a^n = a^{m+n}$ (add exponents)

$\frac{a^m}{a^n} = a^{m-n}$ (subtract exponents)

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

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

$\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}$

When fractions have different bases

Don't add exponents: $2^3 \times 3^2 \neq 6^5$