Question

Please tell the answer to this question
​

Answer 1

Answer:

(b). $x^{y}$

Step-by-step explanation:

$(a^{m} )^{n} = a^{m*n}$

a² - b² = (a - b)(a + b)

~~~~~~~~~~~~~~

$[(x^{y+1} )^{\frac{y^2}{y^2 -1} } ]^{1-\frac{1}{y} }$ = $x^{y}$

Simplify exponents:

$1^{st}$ Step:

1 - $\frac{1}{y}$ = $\frac{y-1}{y}$

$2^{nd}$ Step:

( $\frac{y^2}{y^2 -1}$ ) ( $\frac{y-1}{y}$ ) = $\frac{y(y-1)}{(y-1)(y+1)}$ = $\frac{y}{y+1}$

$3^{rd}$ Step:

(y + 1)( $\frac{y}{y+1}$ ) = y

The value of given expression is $x^{y}$