Question

simplify. express your answer using positive exponents. \\(\dfrac{3r \cdot 3r^7}{3r^7}\\)

Explanation:

Step1: Multiply coefficients & variables

$3r \cdot 3r^7 = (3 \times 3) \cdot (r^1 \times r^7) = 9r^{1+7} = 9r^8$

Step2: Divide by denominator

$\frac{9r^8}{3r^7} = \frac{9}{3} \cdot \frac{r^8}{r^7} = 3r^{8-7}$

Step3: Simplify exponent

$3r^{1} = 3r$

Answer:

$3r$