Evaluate the expression 1/2⋅4−3 2 .(1 point)
To evaluate this expression, you should use the order of operations (PEMDAS: Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction) to simplify it step by step.
Let's break it down:
1. First, we have the exponent 3^2. Evaluating this exponent, we get 9: 3^2 = 3*3 = 9.
2. Next, we multiply: 1/2 * 4 = 2.
3. Finally, we subtract: 2 - 9 = -7.
So the expression simplifies to -7.
Answer: -7
What is the exponent in the exponential form of the expression (1/8)(1/8)(1/8)
In the expression (1/8)(1/8)(1/8), each factor (1/8) represents the base raised to the power of -1.
When multiplying fractions, the exponents are summed.
So, in the given expression, we can rewrite it as (8^-1)(8^-1)(8^-1).
When multiplying the bases with the same exponent, we add the exponents together.
Therefore, we can simplify the expression to 8^(-1 + -1 + -1) = 8^(-3).
The exponent in the exponential form of the expression (1/8)(1/8)(1/8) is -3.
Answer: -3
To evaluate the expression 1/2⋅4−3^2, we follow the order of operations (PEMDAS/BODMAS):
1. Evaluate the exponent: 3^2 = 3 × 3 = 9.
The expression becomes: 1/2⋅4−9.
2. Next, perform the multiplication: 1/2 ⋅ 4 = 2.
The expression becomes: 2−9.
3. Finally, perform the subtraction: 2−9 = -7.
Therefore, the answer is -7.
To evaluate the given expression, you need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
The expression is: 1/2 * 4 - 3^2
First, we should calculate any exponents. In this case, we have 3^2, which equals 9.
Now the expression becomes: 1/2 * 4 - 9
Next, we should perform any multiplications or divisions from left to right. Here, we have 1/2 * 4. We can multiply these two numbers to get 2.
The expression now simplifies to: 2 - 9
Finally, we perform any additions or subtractions from left to right. Subtracting 9 from 2 gives us -7.
Therefore, the evaluated expression is -7.