Question 107732
You won't need an LCD for this one.


The first thing you need is a couple of rules:

1) {{{a^(-n)=1/a^n}}}


2) when you have an exponent of the form {{{m/n}}}, it means to take the nth root of the expression raised to the m power.


{{{(1/8)^(-2/3)+(1/4)^(-1/2)}}} is the original problem, so apply rule 1).


{{{(1/(1/8)^(2/3))+(1/(1/4)^(1/2))}}}


Now apply rule 2) to each of the terms:

The cube root of 8 is 2 and 2 squared is 4, and the square root of 4 is 2, so we can write:


{{{(1/(1/4))+(1/(1/2))=4+2=6}}}