Apply the Power of Zero Rule of Exponents to solve 4x^2+5x^0

The Power of Zero Rule of Exponents states that any non-zero number raised to the power of zero is equal to 1.

In the expression 4x^2 + 5x^0, the term x^0 can be simplified using the Power of Zero Rule. Since x^0 is equal to 1, the expression becomes:

4x^2 + 5x^0
= 4x^2 + 5(1) [Applying the Power of Zero Rule: x^0 = 1]
= 4x^2 + 5
= 4x^2 + 5 [Final simplified expression]