Use the order of operations to simplify 12−2^3+4÷2+2^4 .(1 point)

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User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
9 months ago

To simplify the expression using the order of operations, follow these steps:

1. Start by evaluating any operations inside parentheses or brackets. In this case, there are no parentheses or brackets, so we can skip this step.
2. Next, evaluate any exponents or powers. In this case, we have two exponents: 2^3 and 2^4.

2^3 = 2 x 2 x 2 = 8
2^4 = 2 x 2 x 2 x 2 = 16

After evaluating these exponents, the expression becomes: 12 - 8 + 4 ÷ 2 + 16
3. Moving from left to right, perform any multiplication or division. In this case, we have a division operation: 4 ÷ 2 = 2

The expression becomes: 12 - 8 + 2 + 16
4. Finally, moving from left to right, perform any addition or subtraction.

12 - 8 = 4
4 + 2 = 6
6 + 16 = 22

Thus, the simplified expression is 22.