<p>Given that&nbsp;$\left| z \right|=5$, $\arg z=\frac{\pi }{3}$ and $\left| w \right|=7$, $\arg w=-\frac{\pi }{2}$. Find the modulus and argument of </p>
<ol class="i-list"><li><div class="list-item-paragraph">${{z}^{2}}w$	</div></li><li><div class="list-item-paragraph">$\frac{{{z}^{*}}}{{{w}^{4}}}$	</div></li><li><div class="list-item-paragraph">${{w}^{-3}}{{({{z}^{*}})}^{2}}$	</div></li><li><div class="list-item-paragraph">$2\text{i}{{z}^{5}}$	</div></li><li><div class="list-item-paragraph">$\frac{{{w}^{3}}}{{{\left( z\mathbf{i} \right)}^{4}}}$</div></li></ol>

Given that $\left| z \right|=5$, $\arg z=\frac{\pi }{3}$ and $\left| w \right|=7$, $\arg w=-\frac{\pi }{2}$. Find the modulus and argument of 

$\frac{{{w}^{3}}}{{{\left( z\mathbf{i} \right)}^{4}}}$

Complex Numbers - General

Complex Numbers

H2 Math

International Baccalaureate Higher Level Mathematics

Complex Numbers - Complex Numbers - General

Question 6638aa6d