Question

\\((-3x^5y^{-6})(5x^{-1}y)\\)

Explanation:

Group coefficients and variables

$$ (-3 \cdot 5)(x^5 \cdot x^{-1})(y^{-6} \cdot y^1) $$

Apply exponent rules to simplify

$$ -15 \cdot x^{5 + (-1)} \cdot y^{-6 + 1} = -15x^4y^{-5} $$

Write with positive exponents

$$ -\frac{15x^4}{y^5} $$

Answer:

\(-\frac{15x^4}{y^5}\)