Question

3 simplify the expression using properties of exponents. \\(\frac{6x^{10}y}{2x^{7}y^{3}}\\) \\(\boldsymbol{\text{a}}\\) \\(\frac{3x^{3}}{y^{2}}\\) \\(\boldsymbol{\text{b}}\\) \\(\frac{4y^{2}}{x^{3}}\\) \\(\boldsymbol{\text{c}}\\) \\(3x^{17}y^{4}\\) \\(\boldsymbol{\text{d}}\\) \\(\frac{4x^{17}}{y^{4}}\\)

Explanation:

Step1: Simplify coefficients

$\frac{6}{2} = 3$

Step2: Simplify $x$ terms

$x^{10-7} = x^3$

Step3: Simplify $y$ terms

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

Step4: Combine results

$3 \cdot x^3 \cdot \frac{1}{y^2} = \frac{3x^3}{y^2}$

Answer:

A. $\frac{3x^3}{y^2}$