Which of the following is an equivalent expression to 12(9−7^0)+(−29)^0 ?
The exponent of 0 means any number raised to the power of 0 is equal to 1.
So, 7^0 and (-29)^0 both evaluate to 1.
Therefore, the expression 12(9-7^0)+(-29)^0 is equivalent to:
12(9-1)+1
Simplifying:
12(8)+1
96+1
97
Therefore, the correct equivalent expression is 97.
so itd be 1/2(2)+1?
No, that is incorrect.
Let's break down the original expression step by step:
12(9 - 7^0) + (-29)^0
7^0 is equal to 1 and (-29)^0 is also equal to 1.
So, we can simplify the expression to:
12(9 - 1) + 1
Now, we can simplify further:
12(8) + 1
Finally, we can evaluate the expression:
96 + 1 = 97
Therefore, the correct equivalent expression is 97.
To find an equivalent expression to 12(9−7^0)+(−29)^0, let's simplify the given expression step by step.
Step 1: Evaluate 7^0:
Any number raised to the power of zero is equal to 1. Therefore, 7^0 = 1.
Step 2: Simplify 9−7^0:
Since we evaluated 7^0 to be 1, the expression 9−7^0 becomes 9 - 1 = 8.
Step 3: Simplify (−29)^0:
Any non-zero number raised to the power of zero is equal to 1. Therefore, (−29)^0 = 1.
Now, let's substitute the simplified values back into the original expression:
12(8) + 1
Step 4: Multiply 12 by 8:
12 multiplied by 8 equals 96.
Therefore, an equivalent expression to 12(9−7^0)+(−29)^0 is 96 + 1, which simplifies to 97.