What will be the product $(− 1) × (− 1) × (− 1) × … 171 times$ ?

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-1

-2

answer is B.

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Detailed Solution

We have to find the product of

(− 1) × (− 1) × (− 1) × … 171 times

.
Multiplication of same sign integers is always a positive integer if the number of integers are even whereas multiplication of same sign integers is always a positive integer if the number of integers are odd.
Calculating the product:

− 1 × − 1 × − 1 × ...171

times
Multiplying integers:

∴ − 1 171 = − 1 ∵ 171 is odd

If the power is odd, the sign will be negative.
Also, 1 raised to the power n = 1
where, n can be any real number.
So, the product of

− 1 × − 1 × − 1 × ...171

times is

− 1

.
Therefore, option 2 is correct.

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