Question

(-1)2020 + (-1)2021 =​

Answer 1

Answer:

》(-1) 2020 + (-1) 2021

= -2020 - 2021

= - 4041

Answer 2

( - 1)²⁰²⁰ + ( - 1)²⁰²¹ = 0

Correct question : ( - 1)²⁰²⁰ + ( - 1)²⁰²¹ = ?

Given :

The expression ( - 1)²⁰²⁰ + ( - 1)²⁰²¹

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is ( - 1)²⁰²⁰ + ( - 1)²⁰²¹

Step 2 of 2 :

Find the value of the expression

We know that ,

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

Since 2020 is an even number

∴ ( - 1)²⁰²⁰ = 1

Again 2021 is an odd number

∴ ( - 1)²⁰²¹ = - 1

Thus we get ,

( - 1)²⁰²⁰ + ( - 1)²⁰²¹

= 1 - 1

= 0

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