Respuesta :

We are given the following expression

[tex]\frac{xy^{-6}}{x^{-4}y^2}[/tex]

Recall the negative exponent rule given by

[tex]a^{-x}=\frac{1}{a^x}\: or\: \frac{1}{a^{-x}}=a^x[/tex]

Let us apply the above rule to the given expression

[tex]\frac{xy^{-6}}{x^{-4}y^2}=\frac{x}{x^{-4}y^2y^6}=\frac{xx^4}{^{}y^2y^6}[/tex]

Therefore, the expression after the negative exponents have been eliminated is

[tex]\frac{xx^4}{^{}y^2y^6}[/tex]

The 2nd option is the correct answer.

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