Question

simplify. express your answer using positive exponents. (3v)(9v^7)

Explanation:

Step1: Multiply coefficients

$(3\times9)v\times v^{7}$

Step2: Use exponent - rule for multiplication

When multiplying variables with the same base ($a^{m}\times a^{n}=a^{m + n}$), here $a = v$, $m = 1$, $n = 7$. So $v\times v^{7}=v^{1 + 7}=v^{8}$. And $3\times9 = 27$.
$27v^{8}$

Answer:

$27v^{8}$