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- Exercise 2.6 (Solutions)
- dot\sqrt{-3} = 3$\\ (ii) $i^{73}=-i$\\ (iii) $i^{10} = -1$\\ (iv) Complex conjugate of $(-6i + i^2) ... (ii) $$\begin{array}{cl} 2(5+4i)-3(7+4i) &= 10+8i-21-12i\\ &= 10-21+8i-12i\\ &= -11-4i \end{array}$$ (iii) $$\begin{array}{cl} -(-3+5i)-(4+... rac{27-9i-21i+7i^2}{9+1}\\ &= \frac{27-30i-7}{10}\\ &= \frac{20-30i}{10} \end{array}$$ (iv) $
- Exercise 2.4 (Solutions)
- ^{{-1}\times\frac{1}{2}}}\\ &= \frac{3^{\frac{-10}{3}}2^{-1}}{14^{-1}}\\ &= \frac{3^\frac{-10}{3}2^{-1}}{2^{-1}\times7^{-1}}\\ &= \frac{3^{\frac{-10}{3}}}{7^{-1}}\\ &= \frac{7}{3^{\frac{10}{3}}}\\ &= \frac{7}{3^{(9)\times\frac{1}{3}}\times3^\fr
- Exercise 2.1 (Solutions)
- )$$ Only one digit 5 is being repeated, multiply 10 on both sides $$10x = (0.5555.....) \times 10$$ $$10x = 5.5555..... \qquad (2)$$ Subtract (1) from (... )$$ Only one digit 13 is being repeated, multiply 100 on both sides $$100x = (0.13131313.....) \times 100$$ $$100x = 13.13131313..... \qquad (2)$$ Subtrac