Question

. (- 1) × (- 1) × (- 1) × …… 2m times, where m is a natural number, is equal to

(a) 1

(b) – 1

(c) 1 or – 1

(d) none of these​

Answer 1

Answer:

1

Step-by-step explanation:

2x any natural number is even number.

So if multiply -1 even times we get 1 .

Answer 2

( - 1) × ( - 1) × ( - 1) × ____ 2m times = 1

where m is a natural number

Given :

( - 1) × ( - 1) × ( - 1) × ____ 2m times

where m is a natural number

To find :

The value of the expression

(a) 1

(b) – 1

(c) 1 or – 1

(d) none of these

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

( - 1) × ( - 1) × ( - 1) × ____ 2m times

where m is a natural number

Step 2 of 2 :

Find the value of the expression

Since m is a natural number

So 2m is even

Thus we get

( - 1) × ( - 1) × ( - 1) × ____ 2m times

$\sf = {( - 1)}^{2m}$

$\sf = 1$

Hence the correct option is (a) 1

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