Question

$((81)^ \frac {- 1}{5} ) ^{ \frac{5}{2} }$
please help me solve this question​

Answer 1

${{\bold{\textsf{\textbf{\color{purple}{Solution}}}}}}$

$((81) {}^{ \frac{ - 1}{5} } ) {}^{ \frac{5}{2} }$

$(81) {}^{ \frac{ - 1}{5} \times \frac{5}{2} }$

$(81) {}^{ \frac{ - 1}{2} }$

When power is negative we must reciprocate the base so as to make power positive.

$( \frac{1}{81} ) {}^{ \frac{1}{2} }$

$( \frac{1}{9} ) {}^{2 \times \frac{1}{2} }$

$\frac{1}{9}$ ${\sf\bold{(Answer)}}$