document.write( "Question 1133451: Can someone please help in explaining how to correctly solve this:
\n" ); document.write( "Factor the expression.
\n" ); document.write( "4z(5z − 7)^ −3/2 + 11(5z − 7)^ -1/2
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Algebra.Com's Answer #750696 by greenestamps(13203) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "There are probably different opinions about what is the \"correct\" way to factor an expression like this.

\n" ); document.write( "Probably the most common interpretation is that we are supposed to remove all the common factors with fractional exponents to leave no fractional exponents in the other factor(s). In your example,

\n" ); document.write( " $\"4z%285z-7%29%5E%28-3%2F2%29+=+%28%285z-7%29%5E%28-3%2F2%29%29%2A%284z%29\"$
\n" ); document.write( " $\"11%285z-7%29%5E%28-1%2F2%29+=+%28%285z-7%29%5E%28-3%2F2%29%29%2A%285z-7%29%2A11\"$

\n" ); document.write( "Then factoring out the common factor with the fractional exponents gives us

\n" ); document.write( " $\"%28%285x-7%29%5E%28-3%2F2%29%29%2A%284z%2B%285z-7%2911%29\"$
\n" ); document.write( " $\"%28%285x-7%29%5E%28-3%2F2%29%29%2A%284z%2B55z-77%29\"$
\n" ); document.write( " $\"%28%285x-7%29%5E%28-3%2F2%29%29%2A%2859z-77%29\"$ \n" ); document.write( "

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