Question

simplify.

\\y^{5} \cdot y \cdot y^{-9}\\

write your answer with a positive exponent only.

Explanation:

Identify the implicit exponent

$$ y^5 \cdot y \cdot y^{-9} = y^5 \cdot y^1 \cdot y^{-9} $$

Apply the product rule for exponents

$$ y^{5 + 1 + (-9)} = y^{-3} $$

Apply the negative exponent rule

$$ y^{-3} = \frac{1}{y^3} $$

Answer:

\(\frac{1}{y^3}\)