1/2 times 4 minus 3 with the exponent of 2
To simplify the expression, you need to follow the order of operations - parentheses, exponents, multiplication/division (from left to right), and finally addition/subtraction (from left to right).
Let's break it down step by step:
1. Simplify the exponent: `(4 - 3)^2`
`(4 - 3)^2 = 1^2 = 1`
2. Perform the multiplication: `1/2 * 1`
`1/2 * 1 = 1/2`
Therefore, `1/2 times 4 minus 3 with the exponent of 2` simplifies to `1/2`.
To solve this expression step by step, follow the order of operations (PEMDAS/BODMAS):
1. First, calculate 1/2.
1 ÷ 2 = 0.5
The expression now becomes: 0.5 × 4 - 3^2
2. Next, evaluate the exponent 3^2.
3^2 = 3 × 3 = 9
The expression now becomes: 0.5 × 4 - 9
3. Multiply 0.5 by 4.
0.5 × 4 = 2
The expression now becomes: 2 - 9
4. Subtract 9 from 2.
2 - 9 = -7
Therefore, 1/2 times 4 minus 3^2 is equal to -7.
To solve the expression:
1/2 * 4 - 3^2
First, we need to calculate the exponent part.
3^2 means multiplying 3 by itself:
3 * 3 = 9
Now, substitute the result back into the expression:
1/2 * 4 - 9
Next, calculate the multiplication:
(1/2) * 4 = 2
Now, substitute the result back into the expression:
2 - 9
Lastly, calculate the subtraction:
2 - 9 = -7
Therefore, the answer is -7.