Question

please give correct answer​

Answer 1

$\footnotesize\boxed{ \underline{ \underline{\tt{ Solution:-}}}} \: \purple \bigstar$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\hline\begin{array}{ ||c|| }\purple \bigstar \: \underline{\underline{\footnotesize \tt{Law \: used:-}}} \\\footnotesize \tt{ {a}^{m} \div {a}^{n} = a ^{m - n}} \\\underline{\underline{ \footnotesize \tt{(\frac{a}{b})^{m} = \frac{ {a}^{m} }{ {b}^{m} }} }} \end{array}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\purple\dashrightarrow\tt{[( \frac{ - 1}{3} ) ^{8} \div (\frac{ - 1}{3} ) ^{5}] - [( \frac{ - 1}{3} )^{5} \div (\frac{ - 1}{3} ) ^{3} ]}$

$\purple\dashrightarrow \tt{( \frac{ - 1}{3} ) ^{8 - 5} - ( \frac{ - 1}{3} )^{5 - 3} }$

$\purple\dashrightarrow \tt{( \frac{ - 1}{3} ) ^{3} - ( \frac{ - 1}{3} )^{2} }$

$\purple\dashrightarrow \tt{\frac{( - 1) \times ( - 1) \times ( - 1)}{3 \times 3 \times 3} - \frac{( - 1) \times (- 1)}{3 \times 3} }$

$\purple\dashrightarrow \tt{\frac{ - 1}{27} - \frac{1}{9} }$

$\purple\dashrightarrow \tt{ \frac{ - 1 - 3}{27} }$

$\footnotesize\boxed{\purple \dashrightarrow\underline{ \underline{\tt{ \frac{ -4}{27}}}}} \: \purple \bigstar$