document.write( "Question 812304: 3x^3(3x^3x^4)^2 \n" ); document.write( "

Algebra.Com's Answer #492187 by LinnW(1048) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3x%5E3%283x%5E3x%5E4%29%5E2\"$
\n" ); document.write( "A good first step is to simplify what is inside
\n" ); document.write( "the inner parens.
\n" ); document.write( "So, consider $\"3x%5E3x%5E4\"$
\n" ); document.write( "Notice that $\"x%5E3x%5E4\"$ = $\"x%5E%283%2B4%29\"$ = $\"x%5E7\"$
\n" ); document.write( "Now, $\"3x%5E3x%5E4\"$ = $\"3x%5E7\"$
\n" ); document.write( "Looking back at $\"3x%5E3%283x%5E3x%5E4%29%5E2\"$ we have
\n" ); document.write( " $\"3x%5E3%283x%5E7%29%5E2\"$
\n" ); document.write( "The next step is to apply the ^2
\n" ); document.write( "Let's figure out what (3x^7)^2} is.
\n" ); document.write( "Apply the ^2 to each item inside the parens and we have
\n" ); document.write( "3^2 * (x^7)^2 = 9 * x^14.
\n" ); document.write( "Now we know $\"%283x%5E7%29%5E2\"$ = $\"9+%2A+x%5E14\"$
\n" ); document.write( "Now we need to evaluate $\"3x%5E3%283x%5E7%29%5E2\"$ which is
\n" ); document.write( "equivalent to $\"3x%5E3%2A9x%5E14\"$
\n" ); document.write( " $\"3%2A9x%5E3%2Ax%5E14\"$
\n" ); document.write( " $\"27x%5E17\"$
\n" ); document.write( "Check out the link below.
\n" ); document.write( "http://www.wolframalpha.com/input/?i=3x^3%283x^3x^4%29^2 \n" ); document.write( "

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