Question

Find the value of
(-1) power 121

Answer 1

Answer:

= -1

Step-by-step explanation:

(-1)^121

= -1

Answer 2

$\displaystyle \sf{ {( - 1)}^{121} = - 1}$

Given :

The expression

$\displaystyle \sf{ {( - 1)}^{121} }$

To find :

The value of the expression

Formula :

$\sf {( - 1)}^{n} = \begin{cases} & \sf{ \: \: \: 1\: \: \: \: when \: n \: is \: even} \\ \\ & \sf{ - 1\: \: \: \: \: when \: n \: is \: odd} \end{cases}$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ {( - 1)}^{121} }$

Step 2 of 2 :

Simplify the given expression

Now we know that

$\sf {( - 1)}^{n} = \begin{cases} & \sf{ \: \: \: 1\: \: \: \: when \: n \: is \: even} \\ \\ & \sf{ - 1\: \: \: \: \: when \: n \: is \: odd} \end{cases}$

Now in $\displaystyle \sf{ {( - 1)}^{121} }$ the exponent is 121 which is odd

Hence we have,

$\displaystyle \sf{ {( - 1)}^{121} }$

$\displaystyle \sf{ = - 1 }$

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