Question

reciprocal of (x×y)–¹​

Answer 1

Step-by-step explanation:

I suppose you asked the reciprocal of ( x × y )^(-1)

So ( x × y )^(-1)

= ( xy )^ (-1) (Using (a)^(-1) = 1/a)

= 1/xy

So the reciprocal of 1/xy :

= ( 1 / xy )^(-1)

= xy

Here ' ^ ' means raised to the power.

.

Answer 2

Step-by-step explanation:

Given that: reciprocal of (x×y)–¹

To find: Reciprocal

Solution:

We know that reciprocal of any number a is 1/a.

Here

$a = ( {xy)}^{ - 1} \\ \\ a = \frac{1}{xy}$

Now to find Reciprocal of 1/xy

Put this upon 1

$reciprocal \: of \: \bigg( \frac{1}{xy} \bigg) = \frac{1}{ \frac{1}{xy} } \\ \\or\\\\reciprocal \: of \:( {xy)}^{ - 1} = xy$

Thus,

Reciprocal of 1/xy is xy

Hope it helps you.