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Hence the correct final answer is:
[tex]\frac{4y^3}{x^3}[/tex]
Further explanation:
Given
[tex]Line\ 1: \frac{4}{1}.\frac{x^{-2}}{1}.\frac{1}{x}.\frac{y}{1}.\frac{1}{y^{-2}}[/tex]
The student made the mistake in line two. There was no need to move 4 in the first term, from numerator to denominator
The correct line 2 will be:
[tex]Line\ 2: \frac{4}{1}.\frac{1}{x^2}.\frac{1}{x}.\frac{y}{1}.\frac{y^{2}}{1}}\\Line\ 3: \frac{4y^3}{x^3}[/tex]
Hence the correct final answer is:
[tex]\frac{4y^3}{x^3}[/tex]
Keywords: Fractions, exponents
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