Zero Exponent

How to solve the zero exponent a0: formula, 2 examples, and their solutions.

Formula

Formula

a0 = 1
(a ≠ 0)
If the exponent is 0, then that value is 1.

Example 1

Example

Solution

The exponent of 20 is 1.
And the base, 2, is not 0.
So 20 = 1.

Example 2

Example

Solution

The base of y0 is 0.
And y ≠ 0.
So y0 = 1.

The base of (-3xy)0 is 0.
And -3xy ≠ 0.
So (-3xy)0 = 1.

So the given expression is (4x2⋅1)⋅1.

(4x2⋅1)⋅1 = 4x2

So 4x2 is the answer.