Question

when simplified (x power-1 +ypower-1) is equal to​

Answer 1

Answer:

B is the answer to the question

Answer 2

ANSWER:

${ \bold{ { {(x}^{ - 1} + {y}^{ - 1} )}^{ - 1} }}$

We know that

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

${ \tt{ \to \dfrac{1}{ \frac{1}{x} + \frac{1}{y} } = \dfrac{1}{ \frac{x + y}{xy} } = \frac{xy}{x + y} }}$

Hence,.

${ \mathcal{\underline{ { {(x}^{ - 1} + {y}^{ - 1}) }^{ - 1} = { \rm{\dfrac{xy}{x + y} }}}}}$

CONCEPT USED:

→ Exponents & powers

MORE INFORMATION:

${ \sf{ \to {x}^{ - 1} = \frac{1}{x} }} \\ { \sf{ \to {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab }} \\ { \sf{ \to (a - b)^{2} = {a}^{2} + {b}^{2} - 2ab }}$