document.write( "Question 205748: Can you please help me with this problem. I do not know where to start. Thank you
\n" ); document.write( "x^3/2 =27 \n" ); document.write( "

Algebra.Com's Answer #155369 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E%283%2F2%29+=27\"$
\n" ); document.write( "You want to 'get x by itself on the lefthand side'. So first let's get rid of the 2 on the left.
\n" ); document.write( "If you square both sides, you'll get
\n" ); document.write( " $\"%28x%5E%283%2F2%29%29%5E2+=27%5E2\"$
\n" ); document.write( " $\"x%5E3+=+27%5E2\"$
\n" ); document.write( "Now take the cube root of each side
\n" ); document.write( " $\"%28x%5E3%29%5E%281%2F3%29+=+%2827%5E2%29%5E%281%2F3%29\"$
\n" ); document.write( " $\"x+=+27%5E%282%2F3%29\"$
\n" ); document.write( "Now simplify
\n" ); document.write( "What is the cube root of 27? Well, 27 = 9*3= 3*3*3. So $\"27%5E%281%2F3%29+=+3\"$
\n" ); document.write( "Thus
\n" ); document.write( " $\"x+=+%2827%5E%281%2F3%29%29%5E2\"$
\n" ); document.write( " $\"x+=+3%5E2\"$
\n" ); document.write( " $\"x+=+9\"$
\n" ); document.write( "check your answer
\n" ); document.write( "Does $\"9%5E%283%2F2%29+=+27\"$
\n" ); document.write( " \n" ); document.write( "

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