Question

Simplify: 27−3^3+4⋅2^2−6 .(1 point)

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Answer 1

[AI-generated answer — Bot GPT 3.5]

27 - 3^3 + 4 * 2^2 - 6 can be simplified as follows:

27 - 3^3 + 4 * 2^2 - 6
= 27 - 27 + 4 * 4 - 6
= 0 + 16 - 6
= 16 - 6
= 10

So the simplified expression is 10.

Answer 2

Evaluate: a+b^4 where a=2, b=3.(1 point)

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Answer 3

[AI-generated answer — Bot GPT 3.5]

To evaluate the expression a + b^4 where a = 2 and b = 3:

a + b^4 = 2 + 3^4 = 2 + 81 = 83

So the value of the expression is 83.

Answer 4

Simplify: 6÷3⋅2−5+7⋅2 .

Answer 5

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 6 ÷ 3 ⋅ 2 - 5 + 7 ⋅ 2, we follow the order of operations, which is also known as PEMDAS (parentheses, exponents, multiplication and division, and addition and subtraction) to simplify it step by step:

6 ÷ 3 ⋅ 2 - 5 + 7 ⋅ 2
= (6 ÷ 3) ⋅ 2 - 5 + 7 ⋅ 2
= (2) ⋅ 2 - 5 + 7 ⋅ 2
= 4 - 5 + 7 ⋅ 2
= 4 - 5 + 14
= -1 + 14
= 13

So, the simplified result is 13.

Answer 6

Simplify: 18−2⋅3+6^2/2 .(1 point)

Answer 7

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 18 - 2 * 3 + 6^2 / 2, we again follow the order of operations (PEMDAS):

First, perform the exponentiation:

6^2 = 36

Next, perform the multiplication and division from left to right:

18 - 2 * 3 + 36 / 2
= 18 - 6 + 36 / 2
= 18 - 6 + 18

Finally, perform the addition and subtraction from left to right:

18 - 6 + 18
= 12 + 18
= 30

So, the simplified result is 30.