How do you express#11x^(1/3)# in simplest radical form?

1 Answer
Stefan V.
Jul 24, 2015

You take the cube root from #x# and multiply the result by 11.

Explanation:

An important thing to remember when dealing with fractional exponents is that exponents that take the form #1/n# are equivalent to taking the #n^"th"# root of something.

In your case, for #x>0#, you have

#x^(1/3) = root(3)(x)#

This means that the original expression is equivalent to

#11 * x^(1/3) = color(green)(11 * root(3)(x))#

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