Question

Divide x to the 5 eighths power divided by x to the 1 fourth power.

Answer 1

like this:
\[ \frac{x^\frac{5}{8}}{x^\frac{1}{4}} \]

if the problem was
\[ \frac{x^2}{x^1} \\ \frac{x\cdot x}{x} = x = x^1\]
or
\[ \frac{x^4}{x^2} = \frac{x\cdot x \cdot x \cdot x}{ x \cdot x} = x\cdot x = x^2\]

notice the "rule": the exponent of the numerator minus the exponent of the denominator.

that rule still works even when the exponents are fractions!

Answer 2

got it

Answer 3

got it