document.write( "Question 373650: Short Answer: Simplify the following expression, and rewrite it in an equivalent form with positive exponents.
\n" ); document.write( " $\"%28-6x%5E-5%29%5E-2\"$ \r
\n" ); document.write( "\n" ); document.write( "Any help would be greatly appreciated! \n" ); document.write( "

Algebra.Com's Answer #265913 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28-6x%5E-5%29%5E-2\"$
\n" ); document.write( "First we will simplify. Then we will deal with negative exponents, if any are left.

\n" ); document.write( "To simplify this we will be using the rule: $\"%28a%2Ab%29%5Eq+=+a%5Eq%2Ab%5Eq\"$ :
\n" ); document.write( " $\"%28-6%29%5E%28-2%29%28x%5E%28-5%29%29%5E%28-2%29\"$
\n" ); document.write( "For $\"%28x%5E%28-5%29%29%5E%28-2%29\"$ we will use the rule: $\"%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29\"$ :
\n" ); document.write( " $\"%28-6%29%5E%28-2%29x%5E%28%28-5%29%2A%28-2%29%29\"$
\n" ); document.write( "which simplifies to:
\n" ); document.write( " $\"%28-6%29%5E%28-2%29%2Ax%5E10\"$
\n" ); document.write( "Now we will eliminate the negative exponent on the -6. For this we will use the rule: $\"a%5E%28-q%29+=+1%2Fa%5Eq\"$ . This gives us:
\n" ); document.write( " $\"%281%2F%28-6%29%5E2%29%2Ax%5E10\"$
\n" ); document.write( "Since $\"%28-6%29%5E2+=+36\"$ this becomes:
\n" ); document.write( " $\"%281%2F36%29%2Ax%5E10\"$
\n" ); document.write( "which simplifies to:
\n" ); document.write( " $\"x%5E10%2F36\"$
\n" ); document.write( "This is the simplified expression with positive exponents. \n" ); document.write( "

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