Question

Find the value of (-1) *(-1)*(-1)*.............17 times

Answer 1

Answer:

-1

Step-by-step explanation:

In mulitiplication,

positive number * positive number = poistive number

eg: 3*2 = 6

negative number * negative number = positve number

eg: (-3)*(-2) = 6

positive number * negative number = negative number ( and vice versa)

eg: (-3)*2 = -6

We know that 1^n is always equal to 1

eg: 1^15 = 1, 1^ 109 = 1

But in this case, it is given -1

(-1)^n -{if n is even, then (-1)^n = 1}

        -{if n is odd, the (-1)^n = -1}

So, (-1)*(-1)*(-1)* upto 17 times = (-1)^17 = -1