Why is 7 to the power of 0 1?

Answer 1

Why is 7^0 = 1

Algebraic proof.

Let 'n' be any value

Let 'n be raised to the power of 'a'

Hence n^a

Now if we divide n^a by n^a we have n^a/n^a and this cancels down to '1'

Or we can write n^(a)/n^(a) = n^(a-a) = n^(0) , hence it equals '1'

Remember when the lower /denominating index is a negative power ,when raised above the division line.

Answer 2

7 to the power of 0 = 1

7 to the power of 1= 7