Question

find the value of 256/6561 to the power -5/8​

Answer 1

${ (\frac{256}{6561}) }^{ \frac{ - 5}{8} } \\ \frac{ {256}^{ \frac{ - 5}{8} } }{ {6561}^{ \frac{ - 5}{8} } } = \frac{ ({2}^{8}) {}^{ \frac{ - 5}{8} } }{ ({3}^{8} ) {}^{ \frac{ - 5}{8} } } \\ \frac{ {2}^{ - 5} }{ {3}^{ - 5} } = \frac{ {3}^{5} }{ {2}^{5} } = \frac{243}{32} \\ \frac{243}{32 } is \: your \: answer \: \\ hope \: it \: helps \: you \:$