Question

8. Find the value of each expression.
(i) 8^-2/3+ (-32)^3/5 -(49/4)^1/2
(ii) (27)^4/3 - 2*(16)^5/4 + 1/3 * 9^3/2 + (9^-1/2)^-1​​

Answer 1

$$\begin{gathered} \mathrm{Dear}\mathrm{Student}, \\ {8}^{\frac{-2}{3}}+{\left(-32\right)}^{\frac{3}{5}}-{\left(\frac{49}{4}\right)}^{\frac{1}{2}} \\ ={\left(2^3\right)}^{\frac{-2}{3}}+{\left(-2^5\right)}^{\frac{3}{5}}-\sqrt{\left(\frac{49}{4}\right)} \\ =2^{-2}-2^3-\frac{7}{2} \\ =\frac{1}{4}-8-\frac{7}{2}=\frac{1-32-14}{4}=\frac{-45}{4} \\ \mathrm{Similarly}\mathrm{try}\mathrm{second}\mathrm{part}. \\ \mathrm{Regards} \end{gathered}$$