Which of the following is developed to result in the answer of 1? (1 point) 3(8 ^ 0); 5 ^ 0 + 9 ^ 0; (- 2.97) ^ 0; 13 - (7.42) ^ 0
The expression that results in the answer of 1 is 5^0 + 9^0.
To determine which expression results in the answer of 1, we need to evaluate each option step-by-step:
1. 3(8 ^ 0):
- Step 1: Calculate 8 ^ 0
- 8 ^ 0 = 1
- Step 2: Multiply 3 by the result from Step 1
- 3(1) = 3
2. 5 ^ 0 + 9 ^ 0:
- Step 1: Calculate 5 ^ 0
- 5 ^ 0 = 1
- Step 2: Calculate 9 ^ 0
- 9 ^ 0 = 1
- Step 3: Add the results from Step 1 and Step 2
- 1 + 1 = 2
3. (-2.97) ^ 0:
- Step 1: Calculate (-2.97) ^ 0
- Any non-zero number raised to the power of zero is equal to 1, so (-2.97) ^ 0 = 1
4. 13 - (7.42) ^ 0:
- Step 1: Calculate (7.42) ^ 0
- 7.42 ^ 0 = 1
- Step 2: Subtract the result from Step 1 from 13
- 13 - 1 = 12
Therefore, the expression that results in the answer of 1 is (-2.97) ^ 0.
To find which of the given options results in an answer of 1, we need to evaluate each expression.
Let's go through each option one by one:
1. 3(8^0): In this expression, 8^0 means 8 raised to the power of 0, which is equal to 1. So, 3(8^0) becomes 3(1) which is equal to 3.
2. 5^0 + 9^0: Both 5^0 and 9^0 are equal to 1 because any number (except 0) raised to the power of 0 is always 1. Therefore, 5^0 + 9^0 becomes 1 + 1, which is equal to 2.
3. (-2.97)^0: Similar to the previous cases, any non-zero number raised to the power of 0 is always equal to 1. Therefore, (-2.97)^0 is also equal to 1.
4. 13 - (7.42)^0: As mentioned earlier, any non-zero number raised to the power of 0 is equal to 1. So, (7.42)^0 becomes 1. Therefore, 13 - (7.42)^0 becomes 13 - 1, which equals 12.
Among the given options, only option 1 (3(8^0)) results in an answer of 1.
Hence, the correct option is 3(8^0).