Answer
$x^{\frac{3}{8}}$
Work Step by Step
Let the expression be
$y . x^{\frac{1}{8}} = x^{\frac{4}{8}}$
$y= \frac{x^{\frac{4}{8}}}{x^{\frac{1}{8}}}$
Using quotient rule for exponents, $\frac{a^{m}}{a^{n}} = a^{m-n}$
$y= x^{\frac{4}{8}-\frac{1}{8}}$
$y = x^{\frac{3}{8}}$
Substituting $y$ in the given expression, we get
$x^{\frac{3}{8}} . x^{\frac{1}{8}} = x^{\frac{4}{8}} $
