Question

How do you do this question

Answer 1

Explanation:

Given,

`x = {3}^(m)`

`y = {3}^(n)`

Now

Consider

`{3}^(4m - 1)`

We know that

`\frac{ {a}^(p) }{ {a}^(q) } = {a}^(p- q)`

Using this we can write

`{3}^(4m - 1) = \frac{ {3}^(4m) }{ {3}^(1) }`

`= \frac{ {3}^(4m) }{3}`

We know that

`({a}^(p)) ^(q) = {a}^(pq)`

Using this we get

`\frac{ {3}^(4m) }{3} = \frac{ ({3}^(m))^(4) }{3}`

Since we know that

`{3}^(m) =x`

We get

`= \frac{ {x}^(4) }{3}`