document.write( "Question 949318: what is (1+i) to the power of 8/ How would you write that in the a+bi form? \n" ); document.write( "
Algebra.Com's Answer #579576 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\"%281%2Bi%29%5E8\" in standard \"a%2Bbi\" form is:\r
\n" ); document.write( "\n" ); document.write( "\"%281%2Bi%29%5E8=%281%2Bi%29%5E2%2A%281%2Bi%29%5E2%2A%281%2Bi%29%5E2%2A%281%2Bi%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "since \"%281%2Bi%29%5E2=1%2B2i%2Bi%5E2=1%2B2i-1=2i\", then we have\r
\n" ); document.write( "\n" ); document.write( "\"%281%2Bi%29%5E8=%282i%29%2A%282i%29%2A%282i%29%2A%282i%29\"\r
\n" ); document.write( "\n" ); document.write( "since \"%282i%29%2A%282i%29=4i%5E2=4%28-1%29=-4\" we have\r
\n" ); document.write( "\n" ); document.write( "\"%281%2Bi%29%5E8=%28-4%29%2A%28-4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%281%2Bi%29%5E8=16\" or \"%281%2Bi%29%5E8=16%2B0%2Ai\"
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