what is the product?\n$(3a^{2}b^{7})(5a^{3}b^{8})\n8a^{5}b^{15}\n8a^{6}b^{56}\n15a^{5}b^{15}\n15a^{5}b^{56}$

Explanation:

Step1: Multiply coefficients

$3\times5 = 15$

Step2: Apply exponent - rule for same - base variables ($a$)

$a^{2}\times a^{3}=a^{2 + 3}=a^{5}$

Step3: Apply exponent - rule for same - base variables ($b$)

$b^{7}\times b^{8}=b^{7+8}=b^{15}$

Step4: Combine results

$(3a^{2}b^{7})(5a^{3}b^{8})=15a^{5}b^{15}$

Answer:

$15a^{5}b^{15}$