Question

simplify. express your answer using positive exponents.
(8r)(2r^6)

Explanation:

Step1: Multiply the coefficients

Multiply 8 and 2.
$8\times2 = 16$

Step2: Multiply the variables with exponents

Use the rule $a^m \times a^n = a^{m + n}$. Here, $r = r^1$, so $r^1\times r^6 = r^{1 + 6}=r^7$.

Step3: Combine the results

Multiply the coefficient result and the variable result.
$16\times r^7 = 16r^7$

Answer:

$16r^7$