Question

1. Value of (-1)×(-1)×(-1)…….11 times, is

Answer 1

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Answer 2

Given:

-1 * -1 * -1 .........11 times

To find:

The value

Solution:

-1 * -1 * -1 * -1 * -1 .......11 times

We know that:

a * a * a * ........n times = a ^ n

Therefore,

-1 * -1 * -1 ........11 times = (-1)¹¹

We know that:

-a ^ n ( n is a odd number ) = -a

-a ^ n ( n is a even number ) = a

-1¹¹

Since, 11 is a odd number.

-a ^ n ( here n = 11 which is a odd number ) = -a

Therefore, -1¹¹ = -1

Conclusion:

Therefore, -1¹¹ = -1