document.write( "Question 40385: Simply.\r
\n" ); document.write( "\n" ); document.write( "x^4 * x^-6 \n" ); document.write( "
Algebra.Com's Answer #25843 by junior403(76)\"\" \"About 
You can put this solution on YOUR website!
So we need to simplify the expression
\n" ); document.write( "\"x%5E4%2Ax%5E-6\"
\n" ); document.write( "When simplifying or combining exponents there are a few rules to follow.
\n" ); document.write( "In multiplication of exponents that have the same base (x), which we have here, we can simply add the exponents together.
\n" ); document.write( "So...
\n" ); document.write( "4 + (-6) = -2
\n" ); document.write( "so when we combine \"x%5E4%2Ax%5E-6+=+x%5E-2\"
\n" ); document.write( "Now we have an answer that can be simplified using only positive exponents.
\n" ); document.write( "\"x%5E-2\" we can think of as
\n" ); document.write( "\"%28x%5E-2%29%2F1\"
\n" ); document.write( "and using the quotient rule for negative exponents we can take any negative number from the numerator and put it into the denominator to make it positve.
\n" ); document.write( "So we can do this...
\n" ); document.write( "\"%281%29%2F%281%2Ax%5E2%29\"
\n" ); document.write( "or
\n" ); document.write( "\"1%2Fx%5E2\"
\n" ); document.write( "I hope this helps.
\n" ); document.write( "Good Luck!
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