{"id":99,"date":"2014-10-27T06:26:37","date_gmt":"2014-10-27T06:26:37","guid":{"rendered":"https:\/\/blue-mathbelt.marjoriesayer.com\/?p=99"},"modified":"2014-11-05T07:42:48","modified_gmt":"2014-11-05T07:42:48","slug":"week-3-complex-numbers-day-4","status":"publish","type":"post","link":"https:\/\/blue-mathbelt.marjoriesayer.com\/?p=99","title":{"rendered":"Week 3: Complex Numbers &#8211; Day 4"},"content":{"rendered":"<p>Roots of Unity<\/p>\n<p>1. The non-real number i raised to what power is one? (Of course, when raised to the zeroth power it is one, but there are other powers as well.)<\/p>\n<p>2. Compute the square of:2<sup>-1\/2<\/sup>(1 + i)<\/p>\n<p>3. Compute the cube of: 2<sup>-1\/2<\/sup>(1 + i)<\/p>\n<p>4. What power of 2<sup>-1\/2<\/sup>(1 + i) is one? In other words, 2<sup>-1\/2<\/sup>(1 + i) raised to what power is one?<\/p>\n<p>5. Compute the square of: 2<sup>-1\/2<\/sup>(1 &#8211; i)<\/p>\n<p><a title=\"Week 3: Complex Numbers \u2013 Answers\" href=\"https:\/\/blue-mathbelt.marjoriesayer.com\/?page_id=91\">Answers<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Roots of Unity 1. The non-real number i raised to what power is one? (Of course, when raised to the zeroth power it is one, but there are other powers as well.) 2. Compute the square of:2-1\/2(1 + i) 3. Compute the cube of: 2-1\/2(1 + i) 4. What power of 2-1\/2(1 + i) is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-99","post","type-post","status-publish","format-standard","hentry","category-complex-numbers"],"_links":{"self":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/99","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=99"}],"version-history":[{"count":7,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/99\/revisions"}],"predecessor-version":[{"id":120,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/99\/revisions\/120"}],"wp:attachment":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=99"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=99"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=99"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}