Question

use the product rule to simplify. (-9x^6)(4x^3)

Explanation:

Step1: Multiply coefficients

$(-9)\times4=-36$

Step2: Use product - rule for exponents

$x^{6}\times x^{3}=x^{6 + 3}=x^{9}$

Step3: Combine results

$(-9x^{6})(4x^{3})=-36x^{9}$

Answer:

$-36x^{9}$