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Simplify 2^4-5(10-4^2/2)+(30-3^3)

User Jack Noble
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1 Answer

3 votes

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.

User GioLaq
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