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Exercise 1.1 (Solutions)

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mmutative property w.r.t. '+'. ---- (ii) $(a+1)+ \frac{3}{4}= a+(1+\frac{3}{4})$ **Property:** Associative property w.r.t. '+'. ---- (iii) $(\sqrt{3}+\sqrt{... cative property. ---- (v) $a>b \quad \Rightarrow \frac{1}{a}<\frac{1}{b}$. **Property:** Multiplicative property. ---- (vi) $a>b \quad \Rightarrow -a<-b$. *

Exercise 1.2 (Solutions)

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tion 4(iv)** Simplify: $\displaystyle {{(-1)}^{-\frac{21}{2}}}$ **Solution** \begin{align} (-1)^{-\frac{21}{2}}&=\frac{1}{(-1)^\frac{21}{2}}=\frac{1}{[(-1)^\frac{1}{2}]^{21}}\\ &= \frac{1}{i^{21}}=\frac{1}{(i^2)^{10}\cdot