Question

10. (-1) * (-1) × (-1) ...... 2 m times, where m is a natural
number, is equal to
1
-1
1 or -1
none of these

Answer 1

Answer:

Here we can see that, (-1) is getting multiplied by itself 2m times, that means even number of times. It is because 2m is divisible by 2.

$\large{\bold{Observe \: the \: pattern:}}$

(-1) × (-1) = 1

(-1) × (-1) × (-1) × (-1) = 1

(-1) × (-1) × (-1) × (-1) × (-1) × (-1) = 1

........................................................

and so on.

Here when (-1) is multiplied by itself even number of times like 2 times, 4 times, 6 times etc. the ultimate result is 1 because like signs gives positive sign as. are result when they are multiplied even number of times.

Hence (-1) × (-1) × (-1) ...... 2 m times

will result in:

$\large{ \boxed{ \sf{ \red{1 \: (Option \: A)}}}}$

And we are done !!