Question

25 into raise to the power minus 1/4 divided by 25 into raise to the power 1/4​

Answer 1

Answer:

$\\ = > \frac{1}{5}$

Step-by-step explanation:

$\frac{(25) {}^{ - \frac{1}{4} } }{(25 ){}^{ \frac{1}{4} } } \\ = \frac{ (\frac{1}{25}) {}^{ \frac{1}{4} } }{(25) {}^{ \frac{1}{4} } } \\ = ( \frac{1}{25} ) {}^{ \frac{1}{4} } \times ( \frac{1}{25} ) {}^{ \frac{1}{4} }$

$= (( \frac{1}{5} ) {}^{2} ) {}^{ \frac{1}{4} } \times (( \frac{1}{5} ) {}^{2} ) {}^{ \frac{1}{4} }$

$= ( \frac{1}{5} ) {}^{2 \times \frac{1}{4} } \times ( \frac{1}{5} ) {}^{2 \times \frac{1}{4} }$

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

$= \sqrt{ \frac{1}{5} } \times \sqrt{ \frac{1}{5} }$

$\\ = > \frac{1}{5}$