Question

Write an expression with (-1) as its base that will produce a positive product.

Answer 1

Answer : The required expression is,
`(-1)^(2n)`

Step-by-step explanation :

The expression with (-1) as its base that will produce a positive product is written as:

`(-1)^(2n)`

where,

'n' is a natural number

For example :

When we take the value of n = 1, then we get
`(-1)^(2n)=(-1)^(2* 1)=1` which is a positive product.

When we take the value of n = 2, then we get
`(-1)^(2n)=(-1)^(2* 2)=1` which is a positive product.

When we take the value of n = 3, then we get
`(-1)^(2n)=(-1)^(2* 3)=1` which is a positive product.

That means when we take any natural number in this expression, then it will give a positive product.

Hence, the required expression is,
`(-1)^(2n)`

Answer 2

A negative number raised to an even power will produce a positive result.

... (-1)² = 1