Question

Which values are equivalent to the fraction below ? Check all that apply 3^4/3^6

Answer 1

Answer:

You have to apply Indices Law :

${a}^{m} \div {a}^{n} ⇒ {a}^{m - n}$

So for this question :

$\frac{ {3}^{4} }{ {3}^{6} }$

$= {3}^{4} \div {3}^{6}$

$= {3}^{4 - 6}$

$= {3}^{ - 2} \: or \: \frac{1}{ {3}^{2} } \: or \: \frac{1}{9}$