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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