((x^-4)(x^12)/x^6)^-2=1/625

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Solution for ((x^-4)(x^12)/x^6)^-2=1/625 equation: 


D( x )

(x^-4*x^12)/(x^6) = 0

x = 0

x^6 = 0

(x^-4*x^12)/(x^6) = 0

(x^-4*x^12)/(x^6) = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x = 0

x = 0

x^6 = 0

x^6 = 0

1*x^6 = 0 // : 1

x^6 = 0

x = 0

x in (-oo:0) U (0:+oo)

((x^-4*x^12)/(x^6))^-2 = 1/625 // - 1/625

((x^-4*x^12)/(x^6))^-2-(1/625) = 0

((x^-4*x^12)/(x^6))^-2-1/625 = 0

1*x^-4 = 1/625 // : 1

x^-4 = 1/625

-4 < 0

1/(x^4) = 1/625 // * x^4

1 = 1/625*x^4 // : 1/625

625 = x^4

x^4 = 625 // ^ 1/4

abs(x) = 5

x = 5 or x = -5

x in { 5, -5 }

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