Question

Which of the following is true? 

(-1)^odd positive integer = -1

(-1) ^even positive integer = -1

(+1)^odd positive integer = -1

(+1)^even positive integer = -1​

Answer 1

Answer:

(+1)^even positive integer = -1

Answer 2

Step-by-step explanation:

TRUE:-

(-1)^odd positive integer = -1

VERIFICATION:-

We know that,

( - ) × ( - ) = ( + )

( + ) × ( - ) = ( - )

Let odd positive number be 3.

(-1)³ = -1 × -1 × -1

= (-1 × -1 ) × -1

= +1 × -1

= -1

Again, let odd positive number be 5.

(-1)⁵ = -1 × -1 × -1 × -1 × -1

= (-1 × -1) × (-1 × -1) × -1

= 1 × 1 × -1

= -1

Therefore, (-1)^odd positive integer = -1