Question

Option
A) 3/2
B) -3/2
C) 2/3
D -1/2

please tell me what is answer ​

Answer 1

Step-by-step explanation:

$\frac{(0.6 {)}^{0} - (0.1 {)}^{ - 1} }{ \bigg( \frac{3}{ {2}^{3} } \bigg) ^{ - 1}. \bigg( \frac{3}{2} \bigg) ^{3} + \bigg( - \frac{1}{3} \bigg) ^{ - 1} }$

$⟹ \frac{1 - \bigg( \frac{1}{10} \bigg) ^{ - 1} }{ \bigg( \frac{ {2}^{3} }{3} \bigg). \bigg( \frac{3}{2} \bigg)^{3} + ( - 3)}$

$\red{\left[{{a}^{0}\mathrm{{=}}{1}\hspace{0.33em}{and}\hspace{0.33em}{a}^{\mathrm{{-}}{n}}\mathrm{{=}}\frac{1}{{a}^{n}}}\right] }$

$⟹ \frac{1 - 10}{ \frac{8}{3} \times \frac{27}{8} - 3 }$

$⟹ \frac{ - 9}{9 - 3}$

$⟹ \frac{ - 9}{6}$

$⟹ \frac{-3}{2} \: \mathrm{ \red{ans.} }$

:)