The expression with (-2) as its base produces the negative product [tex](-2)^{2n-1}[/tex].
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The base of the exponential equation should be (-2). And finally, the product or result should also be a negative number.
Let us take a variable for n natural numbers.
(Note: All positive whole numbers are called natural numbers that are 1,2,3,4,5,....).
In order to get the expression, we need to find the expression for odd natural numbers.
The expression for odd natural numbers is given by = 2n-1.
Where n= 1,2,3,4,5...
If we have an odd exponent of a negative number, it always gives a negative number.
We got, base = -2 ( a negative number) and
Exponent = (2n-1)........... expression for an odd number.
Hence, the required expression is [tex](-2)^{2n-1}[/tex].
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