To simplify the expression \( \frac{4}{3}(-2 + 1^0) \), we first evaluate \( 1^0 \).
Since any non-zero number raised to the power of 0 is 1: \[ 1^0 = 1 \]
Substituting this back into the expression gives: \[ -2 + 1^0 = -2 + 1 = -1 \]
Now we substitute \(-1\) back into the original expression: \[ \frac{4}{3}(-1) = -\frac{4}{3} \]
Thus, an equivalent expression to \( \frac{4}{3}(-2 + 1^0) \) is: \[ -\frac{4}{3} \]