Here are the correct answers for your questions based on the Zero Power Rule and arithmetic operations:
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Which of the following is developed to result in the answer of 1?
- Answer: (−2.97)⁰
- Explanation: According to the Zero Power Rule, any non-zero number raised to the power of zero equals 1.
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Which of the following shows the correct process of solving −30+4.5?
- Answer: −30+4.5=−3⁰+4.5=1+4.5=5.5
- Explanation: This is the only option that correctly shows the Zero Power Rule being applied (since -3 is equivalent to (-3) raised to the power of 1).
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Which of the following is an equivalent expression to 7(−5.3)⁰+4·9 when applying the Zero Power Rule?
- Answer: 71+4·9
- Explanation: Using the Zero Power Rule, (−5.3)⁰ = 1, so this becomes 7(1) + 4·9.
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Which of the following is an equivalent expression to 12(9−70)+(−29)⁰?
- Answer: 12(9−1)+1
- Explanation: This is correct because (−29)⁰ = 1, thus simplifying the expression correctly.
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Which of the following shows the correct process of solving −4(3+120)+150 using the Zero Power Rule?
- Answer: −4(3+120)+150=−4(3+1)+1=−4·4+1=−16+1=−15
- Explanation: This option correctly applies the Zero Power Rule (12⁰ = 1) and maintains the right arithmetic throughout the equation.
If you have further questions about any of the answers or need additional explanations, feel free to ask!