To evaluate the expression \( \frac{7}{(-5.3)(0)} + 4 \cdot 9 \) using the Zero Power Rule, we first recognize that \( (-5.3)(0) \) equals 0. Therefore, the term \( \frac{7}{(-5.3)(0)} \) simplifies to \( \frac{7}{0} \), which is undefined.
Since we are applying the Zero Power Rule and recognizing that any non-zero number raised to the power of 0 equals 1, we cannot directly apply it to the term containing division by zero. However, it seems like the context asks for how the expression might be rewritten.
Among the provided options, none can truly be called an “equivalent expression” because introducing or altering 0 in a denominator always leads to an undefined expression. However, considering all the transformations, the options that avoid division by zero and provide a non-undefined result include:
- Start Fraction 7 over 1 End Fraction plus 4 times 9 which is mathematically a valid manipulation, because 7 divided by 1 remains 7.
So, if we must choose an option, the potentially correct response is: 71+4⋅9 (interpreted as \( \frac{7}{1} + 4 \cdot 9 \)).
Nonetheless, we must understand that the original expression becomes undefined due to division by zero.
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