document.write( "Question 54222: x^-1.5=27 . . . . . . I know that the answer is 1/9, but I have no idea how to get there. \n" ); document.write( "

Algebra.Com's Answer #36497 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
Another way of saying -1.5 is -3/2. $\"27=3%5E3\"$ We're going to use these facts to solve the problem.
\n" ); document.write( " $\"x%5E-1.5=27\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x%5E%28-3%2F2%29=3%5E3\"$
\n" ); document.write( ":
\n" ); document.write( " $\"%28x%5E%28-3%2F2%29%29%5E%28-2%2F3%29=%283%5E3%29%5E%28-2%2F3%29\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x%5E%286%2F6%29=3%5E%28-6%2F3%29\"$
\n" ); document.write( " $\"x=3%5E%28-2%29\"$
\n" ); document.write( " $\"x=1%2F%283%5E2%29\"$
\n" ); document.write( " $\"highlight%28x=1%2F9%29\"$
\n" ); document.write( "Check:
\n" ); document.write( "Put this in your calculator:(1/9)^(-1.5) and you'll get 27 and know that you're right!!!!
\n" ); document.write( "Happy Calculating!!!
\n" ); document.write( " \n" ); document.write( "

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