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

$25$

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

Use the concept above to simplify the value.

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

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

$= 5^(6/3)$

$= 5^2$

Now square $5$ .

$= 25$

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