Question

$\frac{a^n}{b^n}=$ _____

• A. $(\frac{a}{b}{)}^n$
• B. $(\frac{a}{b}{)}^{-n}$
• C. $\frac{a}{b^n}$
• D. $\frac{a^n}{b}$

Answer 1

The correct option is A $(\frac{a}{b}{)}^n$

For any non-zero integers a and b,
$\frac{a^n}{b^n}=(\frac{a}{b}{)}^n$,
where 'n' is any integer.
For example,
$\frac{2^{-2}}{-3^{-2}}=(-\frac{2}{3}{)}^{-2}$