Question 198692
x to the power of 2/3 divided by x to the power of 1/3 is equal to 4
what is x?
:
{{{(x^(2/3))/(x^(1/3))}}} = 4
Subtract exponents when you divide like terms
:
{{{x^(2/3-1/3)}}} = 4
:
{{{x^(1/3)}}} = 4
;
Cube both sides:
{{{(x^(1/3))^3 = 4^3}}}
x = 64
:
:
Check solution on calc; enter: (64^(2/3))/(64^(1/3)) = 4