document.write( "Question 750612: Hello, I am trying to solve a algebra math problem but not sure what the next step to take is. Please help me understand and help solve this problem, thank you. \r
\n" ); document.write( "\n" ); document.write( "Question: Simplify. Not to use negative exponents in answer.
\n" ); document.write( " (3m^ -5n)^4
\n" ); document.write( " ___________ * (-4mn^3)^2
\n" ); document.write( " (9m^2n^ -2)\r
\n" ); document.write( "\n" ); document.write( "For this problem I start off by making the negative exponents positive by placing 1 to go over the ones that have negative exponents. \r
\n" ); document.write( "\n" ); document.write( "1
\n" ); document.write( "__
\n" ); document.write( "3m^5 and but after I get the negative exponents to be positive, I am not sure what the next step is and what to do with (-4mn^3)^2 \n" ); document.write( "
Algebra.Com's Answer #457149 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "See how you like this way where we get rid of parentheses first.\r\n" );
document.write( "I'm going to take more steps than necessary because you can do \r\n" );
document.write( "several of these steps all in one step:\r\n" );
document.write( "\r\n" );
document.write( "\"expr%28%283m%5E%28-5%29n%29%5E4%2F%289m%5E2n%5E%28-2%29%29+%29%2A%284mn%5E3%29%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "1. We make sure every factor shows its 1 exponent if it doesn't already \r\n" );
document.write( "have another exponent.  Like this:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2. When you have a fraction multiplied by a non-fraction, make the\r\n" );
document.write( "non-fraction into a fraction by putting a 1 under it:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3. Next remove the parentheses by distributing every exponent\r\n" );
document.write( "that is inside the parentheses times the exponent just outside the\r\n" );
document.write( "parentheses. The -4 will be squared so we can just ignore the negative\r\n" );
document.write( "dign: \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "4. There are only two negative exponents. The rule is: Move the\r\n" );
document.write( "factors with negative exponents on the bottom to the top, and on\r\n" );
document.write( "the top to the bottom, and change the sign of the exponent to\r\n" );
document.write( "positive.  So we move m-20 to the bottom as m20 and we move n-2 to the top as n2.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "5. Let's just have one big fraction:\r\n" );
document.write( "\r\n" );
document.write( "\"+%283%5E4n%5E2n%5E4%2A4%5E2m%5E2n%5E6%29%2F%289%5E1m%5E2m%5E20%29+\"   \r\n" );
document.write( "\r\n" );
document.write( "6. Let's add the exponents of like letters in order to multiply:\r\n" );
document.write( "\r\n" );
document.write( "\"+%283%5E4n%5E12%2A4%5E2m%5E2%29%2F%289%5E1m%5E22%29+\"\r\n" );
document.write( "\r\n" );
document.write( "7. Let's subtract the exponents larger minus smaller\r\n" );
document.write( "and place the result where the larger exponent was\r\n" );
document.write( "The m22 is on the bottom and the m2 is on the\r\n" );
document.write( "top. So we subtract exponents 22-2 and get 20 and write m20 on\r\n" );
document.write( "the bottom because the larger exponent was on the bottom.\r\n" );
document.write( "\r\n" );
document.write( "\"+%283%5E4n%5E12%2A4%5E2%29%2F%289%5E1m%5E20%29+\"\r\n" );
document.write( "\r\n" );
document.write( "8.  Write the 91 as 9 and then as 32\r\n" );
document.write( "\r\n" );
document.write( "\"+%283%5E4n%5E12%2A4%5E2%29%2F%283%5E2m%5E20%29+\"\r\n" );
document.write( "\r\n" );
document.write( "9. Subtract the exponents of 3 and get 32 on the top\r\n" );
document.write( "because the largere exponent was on top. \r\n" );
document.write( "\r\n" );
document.write( "\"+%283%5E2n%5E12%2A4%5E2%29%2F%28m%5E20%29+\"\r\n" );
document.write( "\r\n" );
document.write( "10. Write 32 as 9 and  42 as 16\r\n" );
document.write( "\r\n" );
document.write( "\"+%289n%5E12%2A16%29%2F%28m%5E20%29+\" \r\n" );
document.write( "\r\n" );
document.write( "11. Multiply the 9 by the 16 and get 144\r\n" );
document.write( "\r\n" );
document.write( "\"+%28144n%5E12%29%2F%28m%5E20%29+\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );