Evaluating the Expression: (2x15/3)-(2*3)2
In mathematics, evaluating expressions with multiple operations can be a bit challenging. In this article, we will break down the steps to evaluate the expression (2x15/3)-(2*3)2
.
Step 1: Follow the Order of Operations (PEMDAS)
To evaluate this expression, we need to follow the order of operations as per the PEMDAS rule:
- Parentheses: None in this case.
- Exponents: None in this case.
- Multiplication and Division (from left to right).
- Addition and Subtraction (from left to right).
Step 2: Evaluate the Expression
Let's start by evaluating the expression inside the parentheses:
(2x15/3) = ?
To evaluate this expression, we need to follow the order of operations:
- Multiply 2 and 15:
2x15 = 30
- Divide 30 by 3:
30/3 = 10
So, (2x15/3) = 10
.
Now, let's move on to the second part of the expression:
(2*3)2 = ?
- Multiply 2 and 3:
2*3 = 6
- Raise 6 to the power of 2:
6^2 = 36
So, (2*3)2 = 36
.
Step 3: Evaluate the Final Expression
Now that we have evaluated both parts of the expression, we can put them together:
(2x15/3)-(2*3)2 = 10 - 36
Final Answer
(2x15/3)-(2*3)2 = -26
Therefore, the final answer is -26
.