Question

1. \\((-5x^{2}y)(3x^{4})\\) type a response

Explanation:

Step1: Multiply the coefficients

Multiply -5 and 3.
$-5\times3 = -15$

Step2: Multiply the x terms

Use the rule of exponents $a^m\times a^n=a^{m + n}$. For $x^2$ and $x^4$, we have $x^{2+4}=x^6$.

Step3: Combine the results

The y term remains as it is (since there is no other y term to multiply with). So we combine the coefficient, the x term, and the y term.
$-15\times x^6\times y=-15x^6y$

Answer:

$-15x^6y$