Question

find the product.
$-8x^{5}y^{2} cdot 6x^{2}y$
○ $-8x^{10}y^{2}$
○ $-8x^{7}y^{3}$
○ $-48x^{7}y^{3}$
○ $-48x^{10}y^{2}$
done

Explanation:

Step1: Multiply the coefficients

$-8 \times 6 = -48$

Step2: Combine $x$ terms (add exponents)

$x^5 \times x^2 = x^{5+2} = x^7$

Step3: Combine $y$ terms (add exponents)

$y^2 \times y^1 = y^{2+1} = y^3$

Step4: Combine all results

$-48 \times x^7 \times y^3$

Answer:

-48x⁷y³ (Option: $\boldsymbol{-48x^7y^3}$)