Question

(-1) × (-1) × (-1) × ……… 10 times is equal to
(a) 1
(b) -1
(c) 1 or -1
(d) none of these.​

Answer 1

Answer:-

(-1) × (-1) × (-1) × ……… 10 times is equal to 1.

Option A.

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Answer 2

To Find :- (-1) × (-1) × (-1) × ……… 10 times is equal to

(a) 1

(b) -1

(c) 1 or -1

(d) none of these.

Concept used :-

• a × a × a × a ________ n times = a^n
• 1^n = 1 .
• (-1)^m = 1 , when m is a even number .
• (-1)^p = (-1) , when p is a odd number .
• Numbers which are divisible by 2 are called as even numbers and numbers which are not divisible by 2 are called as odd numbers .

Solution :-

→ (-1) × (-1) × (-1) × _______ 10 times

→ (-1)¹⁰

comparing with (-1)^m we get,

→ m = 10 = 2 × 5 .

since m is divisible by 2 , therefore, m is a even number .

therefore,

→ (-1)¹⁰

→ 1 (Ans.)

Hence, Option (a) 1 is correct answer .

Note :-

• We just have to check power as even number or odd number . If it is even , result is positive . If it is odd, result is negative .

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