Question

The value of (-1) power 55

Answer 1

Answer:

-1

Step-by-step explanation:

-1 to the power odd is always -1

Answer 2

$(-1)^n = -1$  whenever n  is odd number therefore $(-1)^{55} = -1$

Step-by-step explanation:

To find :  $(-1)^{55}$

55 can be written as 2 x 27 +1

Therefore we get

$(-1)^{2\times 27 +1}$

Now as we know $a^{m+n}= a^m \times a^n$

So

$(-1)^{2\times 27} \times (-1)^1$

now

$a^{mn}=((a)^{m}){^n}$

$\Rightarrow ((-1)^2)^{27}\times (-1)$

$\Rightarrow 1 \times (-1) = -1$

Or

as the power is 55 which is odd number therefore

$(-1)^n = -1$ whenever n  is odd number

Hence the value of $(-1)^{55}= -1$

#Learn more

Solve

-1 to the power 9=?

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