document.write( "Question 132889: Given a=x(^1/2)- 4x(^-1/2). What is the value of 1/a^-2??? I think the answer is x^2-8x+16/x , can someone please confirm ???? \n" ); document.write( "
Algebra.Com's Answer #97132 by edjones(8007)\"\" \"About 
You can put this solution on YOUR website!
a=x(^1/2)- 4x^(-1/2) I assume that this is the problem.
\n" ); document.write( "4x^(-1/2)=4/sqrt(x) since only x is taken to the -1/2 power.
\n" ); document.write( "1/a^-2=a^2
\n" ); document.write( "a^2=(sqrt(x)-4/sqrt(x))^2
\n" ); document.write( "=x-8+ 16/x
\n" ); document.write( "You were almost correct the -8 doesn't have an x after it and the x isn't squared.
\n" ); document.write( "sqrt(x)* -4/sqrt(x)=-4sqrt(x)/sqrt(x)=-4
\n" ); document.write( "sqrt(x)^2=x
\n" ); document.write( ".
\n" ); document.write( "Ed
\n" ); document.write( "
\n" ); document.write( "
\n" );