Question

(-1)⁷⁷ do you know the answer?

Answer 1

Answer:

(-1)⁷⁷ = (-1)

Step-by-step explanation:

Let's first experiment a bit before solving,

We know that,

(-1)⁰ = 1

(-1)¹ = (-1)

(-1)² = (-1) × (-1) = 1

(-1)³ = (-1) × (-1) × (-1) = (-1)

(-1)⁴ = (-1) × (-1) × (-1) × (-1) = 1

So,

(-1)⁰ = 1

(-1)¹ = (-1)

(-1)² = 1

(-1)³ = (-1)

(-1)⁴ = 1

Hence, we notice a pattern here,

(-1)^(odd number) = (-1)

(-1)^(even number) = 1

Now, let's get on with the Question,

We must find,

(-1)⁷⁷

We know that,

77 is an odd number.

So,

(-1)^(odd number) = (-1)

Thus, we get

(-1)⁷⁷ = (-1)

Hence,

(-1)⁷⁷ = (-1)

Hope it helped and believing you understood it....All the best