How do you solve 125x^(-3/4)=64?

1 Answer
Alan P.
Jun 2, 2015

If 125 x^(-3/4) = 64

color(white)("XXXXX")(5x^(-1/4))^3 = 4^3

color(white)("XXXXX")5x^(-1/4) = 4

color(white)("XXXXX")x^(-1/4) = 4/5

color(white)("XXXXX")1/(x^(1/4)) = 4/5

color(white)("XXXXX")1/x = (4/5)^4 = 256/625

color(white)("XXXXX")x = 625/256 = 2.441406

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