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 * 93/2 + (9-1/2)-1​​

Answer 1

Dear student
$$\begin{gathered} 1) \\ {8}^{\frac{-2}{3}}+{\left(-32\right)}^{\frac{3}{5}}-{\left(\frac{49}{4}\right)}^{\frac{1}{2}} \\ ={\left(2^3\right)}^{\frac{-2}{3}}+{\left(-2^5\right)}^{\frac{3}{5}}-{\left[{\left(\frac{7}{2}\right)}^2\right]}^{\frac{1}{2}} \\ =2^{-2}+{\left(-2\right)}^3-\frac{7}{2} \\ =\frac{1}{4}-8-\frac{7}{2} \\ =\frac{1-32-14}{4} \\ =\frac{-45}{4} \\ Similarlytrynextpart. \end{gathered}$$
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