How do you simplify #(5^(1/3))^6#?

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Answer 1 · 2016-07-22T15:47:56

#5^(1/3 xx6/1) = 5^2 = 25#

The power law of indices states:

#(x^m)^n = x^(mn)#

When raising a power to another power, multiply the indices.

This is exactly what we have here.

#5^(1/3 xx6/1) = 5^2 = 25#

Answer 2 · 2016-07-22T15:48:27

#25#

#(a^b)^c = a^(b*c)#

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Use the concept above to simplify the value.

#(5^(1/3))^6#

#= 5^((1/3*6))#

#= 5^(6/3)#

#= 5^2#

Now square #5#.

#= 25#