To simplify the expression \(7(-5.3)^0 + 4 \cdot 9\) using the Zero Power Rule, we need to understand that any non-zero number raised to the zero power equals 1.
So, we have:
\[ (-5.3)^0 = 1 \]
This means:
\[ 7(-5.3)^0 = 7 \cdot 1 = 7 \]
Thus, the original expression simplifies to:
\[ 7 + 4 \cdot 9 \]
Calculating \(4 \cdot 9\):
\[ 4 \cdot 9 = 36 \]
Now combining these results, we have:
\[ 7 + 36 = 43 \]
Now, comparing this with the given options, the correct interpretation of \(7(-5.3)^0 + 4 \cdot 9\) leads us to reconstruct the expressions. Among the options provided, the equivalent expression that states \(70 + 4 \cdot 9\) signifies that \(7 (\text{since } (-5.3)^0 = 1) + 36\) gives us:
So, the final equivalent expression is:
\[ 70 + 4 \cdot 9 \]
Thus, the correct response is:
70 + 4 ⋅ 9