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The expression [tex]( x^{1/2}y^{-2/3})^-6 [/tex] is equivalent to

A. [tex] \frac{y^4}{x^3} [/tex]
B. [tex] \frac{x^3}{y^4} [/tex]
C. [tex] \frac{1}{x^3y^4} [/tex]
D. [tex]x^3y^4[/tex]

Please Show All Work

Respuesta :

y ^(-2/3)^-6 = y^12/3 = y^4

x^(1/2)^ -6 = x^-3 = 1 x^3

so the answer is y^4 * 1 /x^3  = y^4 / x^3

A

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