document.write( "Question 1207629: Write each expression in the form a + bi.\r
\n" ); document.write( "\n" ); document.write( "1. 2i(i^(-3))\r
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\n" ); document.write( "\n" ); document.write( "2. 2i(i^(-3)) ÷ i^(-4) \n" ); document.write( "

Algebra.Com's Answer #845603 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "1.\r
\n" ); document.write( "\n" ); document.write( " $\"2i%28i%5E%28-3%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "= $\"2i%2Fi%5E3\"$
\n" ); document.write( "= $\"2%2Fi%5E2\"$ ...........since $\"i%5E2=-1\"$
\n" ); document.write( "= $\"2%2F-1\"$
\n" ); document.write( "= $\"-2\"$ \r
\n" ); document.write( "\n" ); document.write( " in the form $\"a+%2B+bi\"$ $\"a=-2\"$ and $\"b=0\"$ , so you have \r
\n" ); document.write( "\n" ); document.write( " $\"-2\"$ \r
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\n" ); document.write( "\n" ); document.write( "2. $\"2i%28i%5E%28-3%29%29%2Fi%5E%28-4%29\"$ ....from 1. we have that $\"2i%28i%5E%28-3%29%29=-2\"$ \r
\n" ); document.write( "\n" ); document.write( "= $\"-2%2Fi%5E%28-4%29\"$ ......... $\"i%5E%28-4%29=1%2Fi%5E4=1%2F%28i%5E2%29%5E2=1%2F%28-1%29%5E2=1\"$ \r
\n" ); document.write( "\n" ); document.write( "= $\"-2%2F1\"$ \r
\n" ); document.write( "\n" ); document.write( "= $\"-2\"$ \r
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