Question

Compute ( 2^-9 / 2^-11)^3

Answer 1

Answer:

$( {\frac{ {2}^{ - 9} }{ {2}^{ - 11} } )}^{3} \\ = {( \frac{ {2}^{11} }{ {2}^{9}}) }^{3} \\ = { {(2}^{11 - 9} )}^{3} \\ = { ({2}^{2}) }^{3} \\ = {(2)}^{2 \times 3} \\ = {2}^{6} \\ \large{ \boxed{= \underline{ \underline{64}}}}$