document.write( "Question 147558: I'm not quite sure how to simplify the expression 4 over 2+5i (4/2+5i) and I'm not quite sure what i to the -35th power means. \n" ); document.write( "
Algebra.Com's Answer #107944 by Nate(3500)![]() ![]() ![]() You can put this solution on YOUR website! i^(-35) \n" ); document.write( "1/i^35 \n" ); document.write( "1/( i * i^34 ) ~ you want an even power \n" ); document.write( "1/( i * (i^2)^17 ) ~ now, you want an exponent of 2 \n" ); document.write( "1/( i * (-1)^17 ) ~ i^2 = -1 \n" ); document.write( "-1 / i ~ (-1)^17 = -1\r \n" ); document.write( "\n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( "4 / (2 + 5i) \n" ); document.write( "4(2 - 5i) / (2 + 5i)(2 - 5i) ~ multiply the num. and dem. by the conjugate \n" ); document.write( " |