Question

(-1 ) × (-1 ) × (-1 ) × ...... 5 times is equal to​

Answer 1

Answer

-1

Step-by-step explanation:

(-1)*(-1)*(-1)*(-1)*(-1)

count how many times the number gets repeated

if it odd the answer will be negative

if it is even the answer will be positive

here, (-1) repeats 5 times

5 is a odd number

therefore the answer is negative

Answer 2

(-1 ) × (-1 ) × (-1 ) × (-1 ) x (-1 ) will be equal to -1.

Step-by-step explanation:

Given:

(-1 ) × (-1 ) × (-1 ) × (-1 ) x (-1 )

To find:

(-1 ) × (-1 ) × (-1 ) × (-1 ) x (-1 ) =?

Solution:

The given equation has -1 as the value that needs to be multiplied 5 times

As we know any number multiplied by 1 gives us the number itself.

Hence, the number will be 1 only.

However, for the signs, we multiply each term (-1) one by one as

(-1 ) × (-1 ) × (-1 ) × (-1 ) x (-1 )

The multiplication of the first two terms will give us positive 1

∴ 1 X (-1) X (-1) X (-1)

Again the first and the second term multiplied together gives out a negative 1

∴ (-1) x (-1) x (-1)

Now, two negative 1's multiplied will again give us a positive 1

∴ 1 x (-1)

Finally, the positive and negative one multiplied together gives -1

∴ (-1 ) × (-1 ) × (-1 ) × (-1 ) x (-1 ) = -1

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