Question 54222
Another way of saying -1.5 is -3/2.  {{{27=3^3}}} We're going to use these facts to solve the problem.
{{{x^-1.5=27}}}
:
{{{x^(-3/2)=3^3}}}
:
{{{(x^(-3/2))^(-2/3)=(3^3)^(-2/3)}}}
:
{{{x^(6/6)=3^(-6/3)}}}
{{{x=3^(-2)}}}
{{{x=1/(3^2)}}}
{{{highlight(x=1/9)}}}
Check:
Put this in your calculator:(1/9)^(-1.5) and you'll get 27 and know that you're right!!!!
Happy Calculating!!!