Which of the following is developed to result in the answer of 1?
5^0+9^0
(-2.97)^0
3(8^0)
13-(7.42)^0
The expression that results in the answer of 1 is:
3(8^0)
Any number raised to the power of 0 is equal to 1. Therefore, 8^0 equals 1, and when multiplied by 3, the result is still 1.
Which of the following shows the correct process of solving −3^0+4.5?
The correct order of operations is to evaluate exponents (powers) before carrying out addition or subtraction.
So, to solve −3^0+4.5:
Step 1: Evaluate the exponent −3^0. According to the exponentiation rule, any number raised to the power of 0 is equal to 1. So, −3^0 equals −1.
Step 2: Add the result from Step 1 (-1) to 4.5.
Therefore, the correct process to solve −3^0+4.5 is:
−3^0+4.5 = -1 + 4.5 = 3.5
Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule?
When applying the Zero Power Rule, any number (except zero) raised to the power of 0 is equal to 1.
Therefore, an equivalent expression to 7(−5.3)^0+4⋅9 when applying the Zero Power Rule is:
7(−5.3)(1)+4⋅9 = 7(-5.3) + 36 = -37.1 + 36 = -1.1
To determine which of the given expressions will result in the answer of 1, we need to evaluate each expression step by step.
1. 5^0 + 9^0:
Any number raised to the power of 0 is equal to 1. Therefore, both 5^0 and 9^0 will each be equal to 1.
5^0 + 9^0 = 1 + 1 = 2.
So, this expression does not result in the answer of 1.
2. (-2.97)^0:
Similar to the previous case, any number raised to the power of 0 is equal to 1.
(-2.97)^0 = 1.
So, this expression does result in the answer of 1.
3. 3(8^0):
Again, any number raised to the power of 0 is equal to 1.
8^0 = 1, and multiplying 1 by any number does not change its value.
3(8^0) = 3(1) = 3.
So, this expression does not result in the answer of 1.
4. 13 - (7.42)^0:
Once more, any number raised to the power of 0 is equal to 1.
(7.42)^0 = 1.
13 - (7.42)^0 = 13 - 1 = 12.
So, this expression does not result in the answer of 1.
To summarize:
The expression (-2.97)^0 will result in the answer of 1.
To determine which of the given options will result in the answer of 1, let's evaluate each expression step by step:
1. 5^0 + 9^0:
To evaluate an exponent of 0, you need to know the rule that any number (except zero) raised to the power of 0 is equal to 1. Therefore,
5^0 + 9^0 = 1 + 1 = 2
So, option 5^0 + 9^0 does not result in the answer of 1.
2. (-2.97)^0:
Applying the exponent rule to this expression, we know that any number (except zero) raised to the power of 0 is equal to 1. Therefore,
(-2.97)^0 = 1
So, option (-2.97)^0 does result in the answer of 1.
3. 3(8^0):
Again, using the exponent rule, any number (except zero) raised to the power of 0 is equal to 1. Therefore,
8^0 = 1
So, option 3(8^0) simplifies to 3 * 1 = 3
Thus, option 3(8^0) does not result in the answer of 1.
4. 13 - (7.42)^0:
Applying the exponent rule, any number (except zero) raised to the power of 0 is equal to 1. Therefore,
(7.42)^0 = 1
So, option 13 - (7.42)^0 simplifies to 13 - 1 = 12
Therefore, option 13 - (7.42)^0 does not result in the answer of 1.
In conclusion, only option (-2.97)^0 results in the answer of 1.