How do you write #x^(2/3)# in radical form?

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Answer 1 · 2017-08-09T14:03:41

See a solution process below:

First, we can rewrite the term as:

#x^(2 xx 1/3)#

Next, we can use this rule of exponents to rewrite the term again:

#x^(color(red)(a) xx color(blue)(b)) = (x^color(red)(a))^color(blue)(b)#

#x^(color(red)(2) xx color(blue)(1/3)) => (x^color(red)(2))^color(blue)(1/3)#

Now, we can use this rule to write the term as an radical:

#x^(1/color(red)(n)) = root(color(red)(n))(x)#

#(x^2)^(1/color(red)(3)) = root(color(red)(3))((x^2))#