Question

on the right side is the expression ((2x^{3})(5x^{6})), and on the left side are four options: (10x^{9}) (green block), (10x^{8}) (red block), (\frac{1}{10}x^{3}) (blue block below), (10x^{3}) (orange block).

Explanation:

Step1: Multiply the coefficients

$2 \times 5 = 10$

Step2: Add the exponents of $x$

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

Step3: Combine coefficient and variable

$10 \times x^9 = 10x^9$

Answer:

$10x^9$