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Question 1, Exercise 1.1

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tion 1(iii)===== Simplify ${{\left( -1 \right)}^{\frac{-23}{2}}}$. ====Solution==== \begin{align}{{\left( -1 \right)}^{\frac{-23}{2}}}&={{\left( \sqrt{-1} \right)}^{-23}}\\ &={{i}^{-23}}\\ &=\frac{1}{i{{\left( {{i}^{2}} \right)}^{11}}}\\ &=\frac{1}{i{{\left( -1 \right)}^{11}}}\\ &=\frac{1}{-i}\\ &=\

Question 7, Exercise 1.2

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t( 625-336i \right)}{625}\\ =&\dfrac{-625}{625}+\frac{336}{625}i\\ =&-1+\dfrac{336}{625}i\end{align} R

Question 1, Review Exercise 1

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5}+\dfrac{23}{25}i$</collapse> iii. ${{i}^{57}}+\frac{1}{{{i}^{25}}}$, when simplified has the value