document.write( "Question 566202: Perform the indicated operation
\n" ); document.write( "7. (4-2i)(8+4i)\r
\n" ); document.write( "\n" ); document.write( "Simplify and write in a+bi form
\n" ); document.write( "10.i^38\r
\n" ); document.write( "\n" ); document.write( "Divide\r
\n" ); document.write( "\n" ); document.write( "13. 8+4i/7+3i
\n" ); document.write( "

Algebra.Com's Answer #366166 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Perform the indicated operation
\n" ); document.write( "7. (4-2i)(8+4i)
\n" ); document.write( "Simplify and write in a+bi form
\n" ); document.write( "10.i^38
\n" ); document.write( "Divide
\n" ); document.write( "13. 8+4i/7+3i
\n" ); document.write( "**
\n" ); document.write( "i=√-1
\n" ); document.write( "i^2=-1
\n" ); document.write( "i^3=-i
\n" ); document.write( "i^4=1
\n" ); document.write( "..
\n" ); document.write( "(4-2i)(8+4i)=32-16i+16i-8i^2=32+8=40
\n" ); document.write( "..
\n" ); document.write( "i^38=i^36*i^2=-1
\n" ); document.write( "..
\n" ); document.write( "8+4i/7+3i
\n" ); document.write( "multiply top and bottom by conjugate of denominator
\n" ); document.write( "(8+4i)(7-3i)/(7+3i)(7-3i)
\n" ); document.write( "(56+4i-12i^2)/(7^2-9i^2)
\n" ); document.write( "(56+4i+12)/(49+9)
\n" ); document.write( "(68+4i)/58
\n" ); document.write( "68/58+4i/58=34/29+2i/29
\n" ); document.write( "
\n" );