Question
Use the order of operations to simplify:
3² + 4² ÷ 2² ÷ 1³
13
4.25
10 1/3
12
3² + 4² ÷ 2² ÷ 1³
13
4.25
10 1/3
12
Answers
GPT 3.5
To simplify the expression using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right), we can follow these steps:
First, let's evaluate the exponent of 3², which equals 9.
The expression now becomes:
9 + 4² ÷ 2² ÷ 1³
Next, let's evaluate the exponent of 4², which equals 16.
The expression now becomes:
9 + 16 ÷ 2² ÷ 1³
Now, let's evaluate the exponent of 2², which equals 4.
The expression now becomes:
9 + 16 ÷ 4 ÷ 1³
Next, let's evaluate the exponent of 1³, which equals 1.
The expression now becomes:
9 + 16 ÷ 4 ÷ 1
Now, let's divide 16 by 4, which equals 4.
The expression now becomes:
9 + 4 ÷ 1
Finally, let's divide 4 by 1, which equals 4.
The expression simplifies to:
9 + 4
Adding 9 and 4 gives us the final answer of 13.
Therefore, the simplified expression is 13.
First, let's evaluate the exponent of 3², which equals 9.
The expression now becomes:
9 + 4² ÷ 2² ÷ 1³
Next, let's evaluate the exponent of 4², which equals 16.
The expression now becomes:
9 + 16 ÷ 2² ÷ 1³
Now, let's evaluate the exponent of 2², which equals 4.
The expression now becomes:
9 + 16 ÷ 4 ÷ 1³
Next, let's evaluate the exponent of 1³, which equals 1.
The expression now becomes:
9 + 16 ÷ 4 ÷ 1
Now, let's divide 16 by 4, which equals 4.
The expression now becomes:
9 + 4 ÷ 1
Finally, let's divide 4 by 1, which equals 4.
The expression simplifies to:
9 + 4
Adding 9 and 4 gives us the final answer of 13.
Therefore, the simplified expression is 13.