Which of the following is an equivalent expression to 7/(−5.3)0+4⋅9

Question

when applying the Zero Power Rule? (1 point)
Responses

7/5.3 + 4 ⋅ 9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9

7/0 + 4 ⋅ 9
Start Fraction 7 over 0 End Fraction plus 4 times 9

7/5.3⁰ + 36
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36

7/1 + 4 ⋅ 9

Answer 1

To solve the expression \( \frac{7}{(-5.3)^0} + 4 \cdot 9 \) while applying the Zero Power Rule, we first need to recall what the Zero Power Rule states:

Any non-zero number raised to the power of 0 equals 1. Therefore, \( (-5.3)^0 = 1 \).

Now we can substitute this into the expression:

\[ \frac{7}{(-5.3)^0} + 4 \cdot 9 = \frac{7}{1} + 4 \cdot 9 \]

Calculating this gives us:

\[ \frac{7}{1} + 4 \cdot 9 = 7 + 36 = 43 \]

Now, look at the options provided:

1. \( \frac{7}{5.3} + 4 \cdot 9 \)
2. \( \frac{7}{0} + 4 \cdot 9 \)
3. \( \frac{7}{5.3^0} + 36 \)
4. \( \frac{7}{1} + 4 \cdot 9 \)

Given our calculation leads to \( \frac{7}{1} + 36 \), the equivalent expression that matches this is:

4. \( \frac{7}{1} + 4 \cdot 9 \)

So the answer is: \( \frac{7}{1} + 4 \cdot 9 \)