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

75.30+36
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36

70+4⋅9
Start Fraction 7 over 0 End Fraction plus 4 times 9

75.3+4⋅9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9

71+4⋅9

Answer 1

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

Now we can simplify the expression:

1. Calculate \( (-5.3)^0 \): \[ (-5.3)^0 = 1 \]

2. Substitute this value back into the expression: \[ 7/1 + 4 \cdot 9 \] This simplifies to: \[ 7 + 4 \cdot 9 \]

3. Calculate \( 4 \cdot 9 \): \[ 4 \cdot 9 = 36 \]

4. Finally, combine the terms: \[ 7 + 36 = 43 \]

Now, let's compare this with the available options:

• 75.30 + 36: Incorrect
• Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36: Incorrect, as \( 5.3^0 = 1 \) would yield \( 7 + 36 \) not a fraction.
• 70 + 4⋅9: Incorrect, since \( 4 \cdot 9 \) is 36, not 0.
• Start Fraction 7 over 0 End Fraction plus 4 times 9: Incorrect, as division by zero is undefined.
• 75.3 + 4⋅9: Incorrect, 75.3 does not appear in our simplified calculation.
• 71 + 4⋅9: Incorrect, as 4⋅9 is 36, making it 71 + 36, which is not equal to 43.

None of the provided answers match the simplified expression of \( 7 + 36 = 43 \).

Please verify for clarity or check if there was a transcription error with the options, as none align to represent \( 43 \).

Answer 2

u sure

Answer 3

Let me revisit the expression step by step to ensure accuracy and clarity:

The expression we're working with is: \[ \frac{7}{(-5.3)^0} + 4 \cdot 9 \]

Applying the Zero Power Rule:

1. Zero Power Rule: Any non-zero number raised to the power of 0 equals 1. Thus: \[ (-5.3)^0 = 1 \]

2. Substituting this back into the expression: \[ \frac{7}{1} + 4 \cdot 9 \] which simplifies to: \[ 7 + 4 \cdot 9 \]

3. Calculating \( 4 \cdot 9 \): \[ 4 \cdot 9 = 36 \]

4. Combining the terms: \[ 7 + 36 = 43 \]

Checking the Provided Options:

Since the options provided in the previous response included numbers that did not correctly represent our calculated output, the correct interpretation of the original expression remains:

• The simplified calculation leads to 43.

However, if we look at the closest representation among your original options:

• 75.30 + 36: Incorrect
• Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36: Incorrect
• 70 + 4⋅9: Incorrect
• Start Fraction 7 over 0 End Fraction plus 4 times 9: Incorrect
• 75.3 + 4⋅9: Incorrect
• 71 + 4⋅9: Incorrect

There seems to be no direct match.

Conclusion

The correct evaluation yields 43 from the expression \( 7 + 36 \), and none of the provided options reflects this result accurately. If you have particular candidates or if there’s any miscommunication in the options, please clarify so I can assist better!