(125)2/3 to radical form?

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Answer 1 · 2018-02-22T15:00:44

#root(3){125^2}#

#(125)^{2/3}#

#=(125)^{2\cdot 1/3}#

By applying the exponent rule #a^{b\cdot c)=(a^b)^c# , rewrite it as:

#=(125^2)^{1/3}#

Apply the radical rule #a^{1/n}\ =\ root(n){a}# to get:

#=root(3){125^2}#

That's it!