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

7/5.3^0+36

7/1+4⋅9

7/0+4⋅9

7/5.3+4⋅9

Answer 1

To simplify the expression \( \frac{7}{(-5.3)^0} + 4 \cdot 9 \) using the Zero Power Rule, we need to remember that any non-zero number raised to the power of zero is equal to 1. Thus, \( (-5.3)^0 = 1 \).

Now, we can substitute this back into the expression:

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

This further simplifies to:

\[ 7 + 4 \cdot 9 \]

Calculating \( 4 \cdot 9 \) gives us \( 36 \), so:

\[ 7 + 36 \]

This confirms that the equivalent expression is:

\[ 7/1 + 4 \cdot 9 \]

Thus, the correct response is:

7/1 + 4·9