To apply the zero power rule, we need to understand that any non-zero number raised to the power of zero equals one. In this case, we have \( (5.3)^0 \).
So, \( (5.3)^0 = 1 \).
Now let's rewrite the original expression using this rule:
\[ \frac{7}{(5.3)^0} + 4 \cdot 9 = \frac{7}{1} + 4 \cdot 9 \]
Calculating \( 4 \cdot 9 \):
\[ 4 \cdot 9 = 36 \]
Thus, the expression now looks like:
\[ \frac{7}{1} + 36 \]
This means the equivalent expression is:
\[ 7 + 36 \]
Therefore, the equivalent expression to \( \frac{7}{(5.3)^0} + 4 \cdot 9 \) is:
\[ \frac{7}{1} + 4 \cdot 9 \]
Among the given options, the correct one is:
7/1 + 4 . 9 (This simplifies to the same expression as \( 7 + 36 \)).