Question

select the correct answer.
which expression is equivalent to the given expression? assume the denominator does not equal zero.
$\frac{16r^{6}s^{3}}{8r^{2}s^{6}}$
a. $\frac{2r^{3}}{s^{2}}$
b. $\frac{2r^{4}}{s^{3}}$
c. $\frac{8r^{4}}{s^{3}}$
d. $\frac{8r^{3}}{s^{2}}$

Explanation:

Step1: Simplify the coefficients

$\frac{16}{8} = 2$

Step2: Simplify the $r$-terms

$r^{6-2} = r^4$

Step3: Simplify the $s$-terms

$s^{3-6} = s^{-3} = \frac{1}{s^3}$

Step4: Combine all simplified parts

$2 \times r^4 \times \frac{1}{s^3} = \frac{2r^4}{s^3}$

Answer:

B. $\frac{2r^4}{s^3}$