Answer:
9
Explanation:
To simplify the expression 2^4 - 5(10 - 4^2/2) + (30 - 3^3), we follow the order of operations (also known as PEMDAS: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) to evaluate the expression step by step.
Step 1: Evaluate Exponents
In this step, we simplify any exponents in the expression.
- 2^4 = 2 * 2 * 2 * 2 = 16
- 4^2 = 4 * 4 = 16
- 3^3 = 3 * 3 * 3 = 27
The expression becomes: 16 - 5(10 - 16/2) + (30 - 27)
Step 2: Simplify Parentheses
Next, we simplify any expressions within parentheses.
- (10 - 16/2) = (10 - 8) = 2
- (30 - 27) = 3
The expression becomes: 16 - 5(2) + 3
Step 3: Perform Multiplication and Division
Now, we perform any multiplication or division operations from left to right.
- 5(2) = 10
The expression becomes: 16 - 10 + 3
Step 4: Perform Addition and Subtraction
Finally, we perform any addition or subtraction operations from left to right.
- 16 - 10 = 6
- 6 + 3 = 9
Therefore, the simplified expression is 9.