If (-1)^n + (-1)^{2n} = 0, then n is:... | MCQ 1m | Maths | SuperPadhai

Real Numbers > Question

MCQ1 markYear: 2025EasyCBSE Class 10

real-numbersexponents

Question

If

(- 1)^{n} + (- 1)^{2 n} = 0

, then

n

is:

Solution

1

(- 1)^{2 n} = ((- 1)^{2})^{n} = 1

for all

n

. So

(- 1)^{n} + 1 = 0 \Rightarrow (- 1)^{n} = - 1

, which is true when

n

is any odd number.

+1 mark

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