Question

how do you do this question

Answer 1

Step-by-step 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

$= \frac{ {x}^{4} }{3}$