Question

question

simplify: \frac{m^{\frac{5}{8}}}{m^{\frac{13}{8}}}.

provide your answer below:

Explanation:

Apply the quotient rule for exponents

$$ \frac{m^{\frac{5}{8}}}{m^{\frac{13}{8}}} = m^{\frac{5}{8} - \frac{13}{8}} $$

Subtract the fractional exponents

$$ \frac{5}{8} - \frac{13}{8} = \frac{5 - 13}{8} = \frac{-8}{8} = -1 $$

Simplify the negative exponent

$$ m^{-1} = \frac{1}{m} $$

Answer:

Simplify: <blank>\(\frac{1}{m}\)</blank>