Question

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

Answer 1

You have to apply Indices Law :

`{a}^(m) / {a}^(n) ⇒ {a}^(m - n)`

So for this question :

`\frac{ {3}^(4) }{ {3}^(6) }`

`= {3}^(4) / {3}^(6)`

`= {3}^(4 - 6)`

`= {3}^( - 2) \: or \: \frac{1}{ {3}^(2) } \: or \: (1)/(9)`