Which of the following shows the correct process of solving −3^0+4.5?
The correct equivalent expression to 7/(-5.3)^0 + 4 * 9 when applying the Zero Power Rule is 7/1 + 4 * 9.
To solve this expression, we need to apply the order of operations. The correct process is as follows:
1. Begin with the exponent: -3^0. Any non-zero number raised to the power of zero is equal to 1. Hence, -3^0 equals -1.
2. Next, we have -1 + 4.5.
3. Finally, perform the addition: -1 + 4.5 equals 3.5.
Therefore, the correct process for solving −3^0+4.5 is -1 + 4.5, which equals 3.5.
Which of the following is an equivalent expression to 7/(−5.3)^0+4⋅9 when applying the Zero Power Rule? (1 point)
Responses
7/5.3+4⋅9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9
7/0+4⋅9
Start Fraction 7 over 0 End Fraction plus 4 times 9
7/1+4⋅9
Start Fraction 7 over 1 End Fraction plus 4 times 9
7/5.3^0+36
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36
Which of the following is an equivalent expression to 1/2(9 - 7^0) + (-29)^0?
1/2(2) + 1
1/2(9 - 0) + 0
1/2(9 - 1) - 1
1/2(9 - 1) + 1
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To solve the expression −3^0 + 4.5, follow these steps:
Step 1: Evaluate exponents
According to the order of operations (PEMDAS/BODMAS), exponents should be evaluated first.
- The exponent 0 means any number raised to the power of 0 is equal to 1.
So −3^0 can be simplified to -1.
Step 2: Perform addition
Now, we can combine the simplified values.
- We have -1 + 4.5.
The sum of -1 and 4.5 is calculated as 3.5.
Therefore, the correct process of solving −3^0 + 4.5 is:
-3^0 + 4.5 = -1 + 4.5 = 3.5.
To solve the expression −3^0+4.5, you need to follow the correct order of operations, also known as PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
The expression involves two operations: exponentiation and addition. According to the order of operations, you need to evaluate the exponentiation first, and then perform the addition.
Now let's break down the steps to solve the expression −3^0+4.5:
Step 1: Exponentiation
In the expression −3^0, the exponentiation operation is −3^0. However, any number raised to the power of 0 equals 1. So, −3^0 is equal to −3^0 = −1.
Step 2: Addition
Now that we have evaluated the exponentiation part, our expression becomes −1 + 4.5.
Step 3: Addition (continued)
Simply add −1 and 4.5 together:
−1 + 4.5 = 3.5
Therefore, the correct result of the expression −3^0 + 4.5 is 3.5.