Question

simplify.

\\\frac{y^{-8}}{y^9}\\

write your answer with a positive exponent only.

Explanation:

Apply the quotient rule for exponents

Using the Exponent Rules knowledge point

$$ \frac{y^{-8}}{y^{9}} = y^{-8 - 9} = y^{-17} $$

Convert to a positive exponent

Using the Negative Exponents knowledge point

$$ y^{-17} = \frac{1}{y^{17}} $$

Answer:

\(\frac{1}{y^{17}}\)