Question

(
$2 {}^{ - 5} \div 2 {}^{ - 2} =$
​

Answer 1

$\huge \to {2}^{( - 5)} \div {2}^{( - 2)} \\ \\ \\ \boxed{ \bf{a}^{ - n} = \dfrac{1}{ {a}^{n} } }\\ \\ \\ \huge \to \dfrac{ \: 1 \: }{ \: {2}^{5} \: } \div \dfrac{ \: 1 \: }{ \: {2}^{2} \: } \\ \\ \\ \huge \to \dfrac{\cancel1}{ {2}^{5} } \times \dfrac{ {2}^{2} }{ \cancel1} \\ \\ \\ \huge \to \dfrac{ {2}^{2} }{ {2}^{5} } \\ \\ \\ \boxed{ \bf \dfrac{ {a}^{n} }{ {a}^{m} } = {a}^{(n - m)} } \\ \\ \\ \huge \to {2}^{(2 - 5)} \\ \\ \\ \huge \to {2}^{( - 3)} = \frac{1}{ {2}^{3} } \\ \\ \\ \huge \to \frac{1}{8} \: \: \: \rm{}or \: \: \: 0.125$

Answer 2

$\huge \underline\textbf{Answer}$

0.125