-%2B-(23-%2B-43-x-42-%E2%88%92-2)2.jpeg "(23 + 12 − 1 X 32 X 16) + (23 + 43 X 42 − 2)2")
Evaluating the Complex Expression: (23 + 12 − 1 x 32 x 16) + (23 + 43 x 42 − 2)2
In this article, we will explore the step-by-step evaluation of a complex mathematical expression. The expression in question is:
(23 + 12 − 1 x 32 x 16) + (23 + 43 x 42 − 2)2
To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Parentheses: Evaluate the expressions inside the parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate any multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Let's break down the expression into smaller parts and evaluate each component step by step.
Evaluating the First Part: (23 + 12 − 1 x 32 x 16)
- Multiply 1 x 32 x 16 = 512
- Add 23 and 12 = 35
- Subtract 512 from 35 = -477
So, the first part of the expression evaluates to -477.
Evaluating the Second Part: (23 + 43 x 42 − 2)2
- Multiply 43 x 42 = 1806
- Add 23 and 1806 = 1829
- Subtract 2 from 1829 = 1827
- Raise 1827 to the power of 2 = 3333889
So, the second part of the expression evaluates to 3333889.
Adding the Two Parts
Now, we add the results of the two parts:
-477 + 3333889 = 3333412
Therefore, the final result of the complex expression is 3333412.
