Question

simplify the expression $(9w^{2}x^{8})(w^{6}x^{4})$. write the variables in alphabetical order.

Explanation:

Step1: Multiply constant coefficients

$9 \times 1 = 9$

Step2: Combine $w$ terms via exponent addition

$w^2 \times w^6 = w^{2+6} = w^8$

Step3: Combine $x$ terms via exponent addition

$x^8 \times x^4 = x^{8+4} = x^{12}$

Step4: Combine all terms alphabetically

$9 \times w^8 \times x^{12}$

Answer:

$9w^8x^{12}$