Question

Simplify ${\left(\frac{7-4}{7-2}\right)}^{\frac{1}{4}}$

Answer 1

Given that,

$\begin{array}{c}{\left(\frac{7-4}{7-2}\right)}^{\frac{1}{4}}\\ \frac{7-4}{7-2}=\frac{3}{5}\end{array}$

Now,

Subtract the numbers $7-4=3$

$=\frac{3}{7-2}$

Subtract the number $7-2=5$

$=\frac{3}{5}$

$={\left(\frac{3}{5}\right)}^{\frac{1}{4}}$

Hence,

We get the value of simplify the given equation is ${\left(\frac{3}{5}\right)}^{\frac{1}{4}}$.