Which of the following is an equivalent expression to 7/(−5.3)^0 +4⋅9 when applying the Zero Power Rule? (1 point)

Question

Responses

7/1+4⋅9
Start Fraction 7 over 1 End Fraction plus 4 times 9

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

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

7/0+4⋅9

Answer 1

To solve the expression \( 7/(-5.3)^0 + 4 \cdot 9 \) using the Zero Power Rule, we first need to understand that any non-zero number raised to the power of zero is equal to 1. Therefore, \( (-5.3)^0 = 1 \).

So, we rewrite the expression:

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

Now we can simplify:

\[ 7/1 = 7 \] and \[ 4 \cdot 9 = 36 \]

Thus, the expression becomes:

\[ 7 + 36 \]

From the options provided:

• 7/1 + 4⋅9 is correct, as it follows from replacing \( (-5.3)^0 \) with 1.

The correct equivalent expression is:

7/1 + 4⋅9