Question 50665
{{{x^(2/3)=16}}}


Raise both sides to the {{{3/2}}} power, in order to end up with {{{x^1}}}


{{{x^(2/3)=16}}}
{{{(x^(2/3))^(3/2)=16^(3/2)}}}


At this point, you must know what a fractional exponent means:
{{{x^(m/n) }}} means {{{root(n,x)^m}}}


So, a number raised to the 3/2 power means to take the square root of the number, and then raise to the 3 power!!  Did you know that?  That is a separate lesson to itself!!


{{{x= (sqrt(16))^3}}}
{{{x= 4^3}}}
{{{x= 64}}}


R^2 at SCC