To apply the Zero Power Rule, we recognize that any non-zero number raised to the power of zero is equal to 1. Thus, \(1^0 = 1\).
Now, let's apply this to the expression given:
\[ 4/3(-2 + 1^0) \]
Substituting \(1^0\) with 1, we have:
\[ 4/3(-2 + 1) \]
Now, calculate \(-2 + 1\):
\[ -2 + 1 = -1 \]
So, the expression simplifies to:
\[ 4/3(-1) \]
In your format, that means we can write:
\[ 4/3(-2 + 1^0) \text{ is equivalent to } 4/3(-2 + ___) \text{ where the blank is } 1. \]
Thus, the equivalent expression is:
\[ 4/3(-2 + 1) \]
The answer to fill in the blank is 1.