Question

simplify $\frac{4n^{-1}}{4m^{2}n^{2}}$
a) $2m^{3}$
b) $\frac{1}{n^{3}m^{2}}$
c) $\frac{1}{3mn}$
d) $m^{7}n^{2}$
○ a
○ b
○ c
○ d

Explanation:

Step1: Simplify the constant terms

$\frac{4}{4} = 1$

Step2: Simplify the $n$ terms

$n^{-1} \div n^2 = n^{-1-2} = n^{-3} = \frac{1}{n^3}$

Step3: Rewrite the full expression

$1 \times \frac{1}{m^2} \times \frac{1}{n^3} = \frac{1}{m^2n^3}$

Answer:

B) $\frac{1}{n^3 m^2}$