Question

Simplify. Express the quotient as a rational exponent. x^7/8/x^2/5

Answer 1

5x^5/8

Answer 2

not an answer choice.

Answer 3

x^(19/40)

Answer 4

\[\frac{\frac{x^7}{8}}{\frac{x^2}{5}}\]

before i thought u asked for this expression

Answer 5

\[\Large \begin{array}{l}
\frac{{{x^{7/8}}}}{{{x^{2/5}}}}\\
= {x^{(7/8) - (2/5)}}\\
\frac{7}{8} - \frac{2}{5}\\
= \frac{{35}}{{40}} - \frac{{16}}{{40}}\\
= \frac{{19}}{{40}}\\\\
\text{Hence:}\\
{x^{19/40}}
\end{array}\]