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<p>Simplify:</p>
<ol class="abc-list"><li><div class="list-item-paragraph">\({{\mathbf{i}}^{7}}-5{{\mathbf{i}}^{13}}\)</div></li><li><div class="list-item-paragraph">\(3{{\mathbf{i}}^{23}}-4{{\mathbf{i}}^{74}}\)</div></li></ol>

Integer Powers of \(i\)

Complex Numbers

<p>Simplify:</p>
<ol class="abc-list"><li><div class="list-item-paragraph">\({{\mathbf{i}}^{32}}\)</div></li><li><div class="list-item-paragraph">\({{\mathbf{i}}^{69}}\)</div></li><li><div class="list-item-paragraph">\({{\mathbf{i}}^{17}}\)</div></li><li><div class="list-item-paragraph">\({{\mathbf{i}}^{111}}\)</div></li><li><div class="list-item-paragraph">\({{\mathbf{i}}^{86}}\)</div></li></ol>

<p>Simplify each of the following complex numbers and state its real and imaginary parts.</p>
<ol class="abc-list"><li data-list-item-id="item-1762538703649-byjicbiw1" data-list-item-path="item-1762538703649-byjicbiw1"><div class="list-item-paragraph">\({{\mathbf{i}}^{3}}\)</div></li><li data-list-item-id="item-1762538704299-w3f447j0k" data-list-item-path="item-1762538704299-w3f447j0k"><div class="list-item-paragraph">\({{\mathbf{i}}^{4}}\)</div></li><li data-list-item-id="item-1762538705118-leu5dy3yo" data-list-item-path="item-1762538705118-leu5dy3yo"><div class="list-item-paragraph">\({{\mathbf{i}}^{5}}\)</div></li></ol>

Simplify each of the following complex numbers and state its real and imaginary parts.

Introduction to Complex Numbers

Math Question Bank