Question

Please help me. Fast. :(;(

Answer 1

Solution

$((x {}^{a - a {}^{ - 1} } ) {}^{ \frac{1}{a - 1} } ) {}^{ \frac{a}{a + 1} } \\ = ((x {}^{a - \frac{1}{a} } ) {}^{ \frac{1}{a - 1} } ) {}^{ \frac{a}{a + 1} } \\ = ((x {}^{ \frac{a {}^{2} - 1 }{a} } ) {}^{ \frac{1}{a - 1} } ) {}^{ \frac{a}{a + 1} } \\ = ((x {}^{ \frac{(a + 1)(a - 1)}{a} } ) {}^{ \frac{1}{a - 1} } ) {}^{ \frac{a}{a + 1} } \\ = x {}^{ \frac{(a + 1)( a - 1) }{a} \times \frac{1}{a - 1} \times \frac{a}{a + 1} } \\ = x {}^{1} \\ = x$