Question

grab a piece of lined paper from the round table, then sit down in your seat and solve the following problem on the lined paper as your do now: $(8x^{3})(4xy^{2})$

Explanation:

Step1: Multiply the coefficients

Multiply 8 and 4.
$8\times4 = 32$

Step2: Multiply the x terms

Use the rule $a^m \times a^n = a^{m + n}$. For $x^3$ and $x$, we have $x^3\times x = x^{3 + 1}=x^4$

Step3: Multiply the y term

There is only one y term, $y^2$, so it stays as is.

Step4: Combine all parts

Multiply the results from steps 1, 2, and 3.
$32\times x^4\times y^2 = 32x^4y^2$

Answer:

$32x^4y^2$