document.write( "Question 476257: simplify the following expression, and rewrite it in an equivalent forom with positive exponents.\r
\n" ); document.write( "\n" ); document.write( "(4x^-3)^-4
\n" ); document.write( "

Algebra.Com's Answer #326566 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\"%284x%5E%28-3%29%29%5E%28-4%29\"\r\n" );
document.write( "\r\n" );
document.write( "The x inside the parentheses has its exponent -3 showing.\r\n" );
document.write( "The 4 inside the parentheses has the exponent 1 but it \r\n" );
document.write( "is not showing, so let's give it a 1 exponent that shows:\r\n" );
document.write( "\r\n" );
document.write( "\"%284%5E1x%5E%28-3%29%29%5E%28-4%29\"\r\n" );
document.write( "\r\n" );
document.write( "Next we will remove the parentheses by using the distributive\r\n" );
document.write( "principle of exponents.  That is we multiply each exponent\r\n" );
document.write( "that is inside the parentheses, the 1 and the -3,  by the exponent\r\n" );
document.write( "just outside the parentheses, the -4.  So we get:\r\n" );
document.write( "\r\n" );
document.write( "\"4%5E%28%281%29%28-4%29%29x%5E%28%28-3%29%28-4%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "\"4%5E%28-4%29x%5E12\"\r\n" );
document.write( "\r\n" );
document.write( "Now to make the exponent -4 positive, we move the base and exponent\r\n" );
document.write( "to the denominator and change the sign of the exponent to positive:\r\n" );
document.write( "\r\n" );
document.write( "\"x%5E12%2F4%5E4\"\r\n" );
document.write( "\r\n" );
document.write( "Finally we write \"4%5E4\" as 256\r\n" );
document.write( "\r\n" );
document.write( "\"x%5E12%2F256\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );