Apply the Zero Power Rule of Integer Exponents to solve 4/3 (-2+1^0)

Question

An equivalent expression to 4/3 (-2+1^0) is 4/3 (-2 + ? )
Fill in the blank.

Answer 1

According to the Zero Power Rule of Integer Exponents, any non-zero number raised to the power of zero equals 1. Therefore, we have:

\[ 1^0 = 1 \]

Now, substituting this back into the expression we have:

\[ 4/3 \cdot (-2 + 1^0) = 4/3 \cdot (-2 + 1) \]

We can fill in the blank in the equivalent expression:

\[ 4/3 \cdot (-2 + ?) = 4/3 \cdot (-2 + 1) \]

Thus, the blank should be filled with \(1\). So, the answer is:

1