Question 49900
Simplify:
a) {{{64^(2/3)}}} This can be written as:
{{{(64^2)^(1/3)}}} That's the cube root of 64 squared. You can square the 64.
{{{64^2) = 4096}}} Now take the cube root of 4096.
{{{4096^(1/3)}}} = 16
So: {{{64^(2/3) = 16}}}

Or you can do it this way:

{{{64^(2/3) = (64^(1/3))^2}}} = {{{4^2 = 16}}}

b) {{{(-8)^(-4/3) = 1/(-8)^(4/3)}}} = {{{1/((-8)^4)^(1/3) = 1/(4096)^(1/3)}}} = {{{1/16}}}

or:
{{{1/(-8)^(4/3) = 1/((-8)^(1/3))^4}}} = {{{1/(-2)^4 = 1/16}}}