Question

$( {3}^{ - 7} \div {3}^{ - 9} ) \times {3}^{ - 5}$
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Answer 1

Step-by-step explanation:

$(\frac{1}{ {3}^{7} } \div \frac{1}{ {3}^{9} } ) \times \frac{1}{ {3}^{5} } \\ \frac{ \frac{1}{ {3}^{7} } }{ \frac{1}{ {3}^{9} } } = \frac{ {3}^{9} }{ {3}^{7} } \\ = {3}^{2} = 9 \\ 9 \times \frac{1}{ {3}^{5} } = \\ \frac{ {3}^{2 } }{ {3}^{5} } = \frac{1}{ {3}^{3} } = {3}^{ - 3 } \\ = 0.037037037037037 \: or \: \frac{1}{27}$