Question

If x=(-1)×(-1)×(-1)........25times and y =(-3)×(-3)×(-3)then xy =?

Answer 1

Answer:

-3×-3=+9×-3=-27 and -1×-1×-1 its -1 but here -1 is 28 times firstly its give 3 and then 25 times so its 28 times and 28 is even so the answer is -27×1=-27.....

Answer 2

The value of xy is 27.

Solution: x= (-1)×(-1). . . 25 times

The value of

${ - 1}^{n}$

= 1 , if n is an even natural number

= -1, if n is an odd natural number

$x = { - 1}^{25}$

Since n is odd here, therefore x = -1

When two same sign integers are multiplied, the result is a positive number and when two different sign integers are multiplied, the result is a negative integer.

y = (-3)×(-3)×(-3)

= 9 × -3

= -27

Now, xy = -1 × -27

= 27