Question 14460
 
Fractional exponents:
{{{8^(5/3)}}} means: The 5 in the numerator of the exponent is "raise to the 5th power". The 3 in the denominator is "take the cube root". You can rewrite this as:

{{{(8^(1/3))^5}}} = {{{2^5 = 32}}} or:
{{{(8^5)^(1/3)}}} = {{{32768^(1/3) = 32}}}

Similarly with: {{{27^(4/3)}}}  Raise 27 to the 4th power, then take the cube root of the result, or vice versa.

{{{(27^4)^(1/3)}}} = {{{531441^(1/3) = 81}}} or:
{{{(27^(1/3))^4}}} = {{{3^4 = 81}}}