Say you were given a piece of paper and began to cut it up:-
0 cuts 1 piece or 20
1 cut gives 2 pieces or 21
2 cuts gives 4 pieces or 22
3 cuts gives 8 pieces or 23
4 cuts gives 16 pieces or 24
and so on ......
It seems to be primarily for mathematical convenience, as opposed to any other reason. (The same reason that 0! (factorial) equals one. This prevents many sums leading to a "something divided by zero" answer, which clearly is not a feasible answer.) Many things are "invented" just for mathematical convenience, such as the imaginary number "i" - although it does not technically exist, it aids mathematical completeness - i.e the ability to solve problems.
Additional Information:-
Let any number or variable be n:
So n2/n2 = 1 because when dividing indices with the same bases we subtract the indices and n2 divided by n2 is the same as n2-2 which is n0 and is equal to 1
The value of any nonzero number raised to the zero power will equal positive one (1).
Anything (except zero) raised to the power zero is equal to one.
Yes because any number raised to the power of zero is always equal to 1
10 raised to power of 3.8 has a value of 6,309.5734448019324943
Because that value has been established by convention. Any number raised to the power of zero equals one. See the related question.
The value of any nonzero number raised to the zero power will equal positive one (1).
An exponential equation.
Anything (except zero) raised to the power zero is equal to one.
It is 1 because 1 raised by any power is always equal to 1
Yes because any number raised to the power of zero is always equal to 1
Yes. Anything raised to a power of zero is equal to 1 except for zero itself.
It's value.
10 raised to power of 3.8 has a value of 6,309.5734448019324943
Because that value has been established by convention. Any number raised to the power of zero equals one. See the related question.
You can replace a variable with an equal value or expression. Just make sure the same variable always gets the same value or expression.
Any variable divided by coefficients can equal 7 - provided the variable can take the appropriate value.
The value of 10 raised to the power of 9 (109) is 1,000,000,000 or one billion.