document.write( "Question 985969: how do you solve this rewriting using a single exponent 32^2y^10? I know the answer is 2y^10 but i dont understand. \n" ); document.write( "
Algebra.Com's Answer #606742 by Edwin McCravy(20064)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "The answer is not 2y10 but (2y)10.  The parentheses\r\n" );
document.write( "are ABSOLUTELY NECESSARY!\r\n" );
document.write( "\r\n" );
document.write( "The secret is what you can do with the number 32:\r\n" );
document.write( "\r\n" );
document.write( "32 = 16×2 = 8×2×2 = 4×2×2×2 - 2×2×2×2×2 = 25\r\n" );
document.write( "\r\n" );
document.write( "So\r\n" );
document.write( "\r\n" );
document.write( "322y10\r\n" );
document.write( "\r\n" );
document.write( "Now replace the 32 by (25).  Be sure to put the parentheses.\r\n" );
document.write( "\r\n" );
document.write( "(25)2y10\r\n" );
document.write( "\r\n" );
document.write( "Remove the parentheses by multiplying the inner exponent 5 by the \r\n" );
document.write( "outer exponent 2, getting the exponent 10:\r\n" );
document.write( "\r\n" );
document.write( "210y10\r\n" );
document.write( "\r\n" );
document.write( "Now we can use just one 10 exponent by enclosing the 2 and the y \r\n" );
document.write( "in parentheses and taking the common 10 exponent out on the right:\r\n" );
document.write( "\r\n" );
document.write( "(2y)10\r\n" );
document.write( "\r\n" );
document.write( "It will be wrong if you leave off the parentheses as you did above.\r\n" );
document.write( "\r\n" );
document.write( "Parentheses are EXTREMELY IMPORTANT throughout algebra.  So try to\r\n" );
document.write( "learn how to use them properly as they are like putting a rubber band \r\n" );
document.write( "around things to hold things together.\r\n" );
document.write( "\r\n" );
document.write( "\"cross%282y%5E10%29\" is wrong.  \"%282y%29%5E10\" is right. \r\n" );
document.write( "\r\n" );
document.write( "The first one is wrong because the 2 would not get raised to the 10th \r\n" );
document.write( "power but only the y.   However by putting parentheses around both the 2\r\n" );
document.write( "and the y, they BOTH get raised to the 10th power.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );