what is the product?\n$(7x^{2}y^{3})(3x^{5}y^{8})\n10x^{7}y^{11}\n10x^{10}y^{24}\n21x^{7}y^{11}\n21x^{10}y^{2…

Explanation:

Step1: Multiply the coefficients

$7\times3 = 21$

Step2: Use the product - rule for exponents with the same base for $x$

$x^{2}\times x^{5}=x^{2 + 5}=x^{7}$ (since $a^{m}\times a^{n}=a^{m + n}$)

Step3: Use the product - rule for exponents with the same base for $y$

$y^{3}\times y^{8}=y^{3+8}=y^{11}$ (since $a^{m}\times a^{n}=a^{m + n}$)

Step4: Combine the results

$(7x^{2}y^{3})(3x^{5}y^{8})=21x^{7}y^{11}$

Answer:

C. $21x^{7}y^{11}$