document.write( "Question 610027: root7(x)(root7(x^(55))-root7(x^(41)))= \n" ); document.write( "

Algebra.Com's Answer #384107 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"root%287%2C+x%29%28root%287%2C+x%5E%2855%29%29-root%287%2C+x%5E%2841%29%29%29\"$
\n" ); document.write( "Using the Distributive Property we get:
\n" ); document.write( "

\n" ); document.write( "Using the property of radicals, $\"root%28a%2C+p%29+%2A+root%28a%2C+q%29+=+root%28a%2C+p%2Aq%29\"$ , we can multiply these roots:
\n" ); document.write( " $\"root%287%2C+x%2Ax%5E%2855%29%29-root%287%2C+x%2Ax%5E%2841%29%29\"$
\n" ); document.write( "Using the rule for exponents (add the exponents) to multiply inside the radicals:
\n" ); document.write( " $\"root%287%2C+x%5E%2856%29%29-root%287%2C+x%5E%2842%29%29\"$
\n" ); document.write( "Simplifying the radicals:
\n" ); document.write( " $\"root%287%2C+%28x%5E8%29%5E%287%29%29-root%287%2C+%28x%5E6%29%5E%287%29%29\"$
\n" ); document.write( " $\"x%5E8-x%5E6\"$
\n" ); document.write( " \n" ); document.write( "

\n" );