Question

which is the equivalent to the following expression: $\frac{15x^3}{25y^2}$○ $\frac{3x}{5y^2}$○ $\frac{3x}{5y}$○ $\frac{3x^3}{5y^2}$○ $\frac{15x^3}{25y^2}$

Explanation:

Step1: Simplify the coefficient

$\frac{12}{36} = \frac{1}{3}$

Step2: Simplify the $m$ term

$\frac{m^3}{m^1} = m^{3-1} = m^2$

Step3: Simplify the $n$ term

$\frac{n^1}{n^4} = n^{1-4} = n^{-3} = \frac{1}{n^3}$

Step4: Combine all simplified terms

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

Answer:

$\boldsymbol{\frac{m^2}{3n^3}}$ (the last option)