Question

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

Answer 1

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

... (-1)² = 1

Answer 2

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 $(-1)^{2n}=(-1)^{2\times 1}=1$ which is a positive product.

When we take the value of n = 2, then we get $(-1)^{2n}=(-1)^{2\times 2}=1$ which is a positive product.

When we take the value of n = 3, then we get $(-1)^{2n}=(-1)^{2\times 3}=1$ 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, $(-1)^{2n}$