Question 4027
{{{(x+1)^(-3/2)=8}}}


{{{(x+1)^(3/2)=1/8}}}. The left hand side can be thought of as {{{((x+1)^(1/2))^3}}}, in which case we take the cube root of both sides to give:


{{{(x+1)^(1/2) = 1/2}}}. Now we square both sides, to give:


{{{(x+1) = 1/4}}}. So, the answer is x=-3/4


jon.