which of the following is an equivalent expression to 1/2 (9 - 7^0) + ( - 29)^0? (1 point)
The expression 7^0 equals 1, and (-29)^0 equals 1. Therefore, an equivalent expression would be:
1/2 (9 - 1) + 1
Simplifying further, we get:
1/2 (8) + 1
So the equivalent expression is:
4 + 1
Which equals 5.
which of the following is an equivalent expression to 1/2 (9 - 7^0) + ( - 29)^0? (1 point)
A.1/2 (9 - 1) - 1
B.1/2 (9 - 1) + 1
C.1/2 (9 - 1) + 0
D.1/2 (2) + 1
To solve this problem, we need to simplify the given expression step by step.
First, we need to evaluate the exponent 7^0, which equals 1.
Next, we need to evaluate the exponent (-29)^0, which also equals 1.
Thus, our expression becomes:
1/2 (9 - 1) + 1
Now, we can simplify the expression inside the parentheses:
1/2 (8) + 1
Multiplying 1/2 by 8, we get:
4 + 1
Combining like terms, our final simplified expression is:
5
Therefore, the correct answer is not listed among the options provided.
To simplify the expression and find the equivalent expression, follow the order of operations (PEMDAS/BODMAS):
1. Simplify any exponents (powers):
- 7^0 = 1 (since any number raised to the power of 0 is equal to 1).
- (-29)^0 = 1 (Any number, except 0, raised to the power of 0 is equal to 1).
2. Substitute the simplified exponents back into the expression:
1/2 (9 - 1) + 1
3. Simplify the subtraction:
1/2 (8) + 1
4. Multiply 1/2 by 8:
4 + 1
5. Add the two terms:
5
The equivalent expression is 5.
To find an equivalent expression to 1/2(9 - 7^0) + (-29)^0, we should simplify the given expression.
First, let's simplify the exponent expressions:
- 7^0 = 1 (Any number raised to the power of zero is equal to 1)
- (-29)^0 = 1 (Similarly, any nonzero number raised to the power of zero is equal to 1)
Now, we can substitute these values and simplify further:
1/2(9 - 1) + 1
Inside the parentheses, 9 - 1 equals 8. So, the expression becomes:
1/2 * 8 + 1
Now, we multiply the 1/2 by 8, which gives us 4:
4 + 1
Finally, we have:
5
Therefore, the equivalent expression to 1/2(9 - 7^0) + (-29)^0 is 5.