How do you evaluate (6000)^(2/3)?

1 Answer
Alan P.
Mar 8, 2017

100root(3)(36)

Explanation:

(6000)^(2/3)
#color(white)("XXX")=(6000^(1/3))^2

color(white)("XXX")=(root(3)(6 * 10^3))^2

color(white)("XXX")=(10root(3)(6))^2

color(white)("XXX")=10^2 * root(3)(6)^2

color(white)("XXX")=100root(3)(36)

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