Question

Evaluate the expression using order of operations (-4 + 12 - 6²) ÷ 7​

Answer 1

Explanation:

Using the order of operations (also known as PEMDAS), we evaluate the expression as follows:

First, we evaluate any expressions inside parentheses or brackets. However, there are no parentheses or brackets in the expression.

Next, we evaluate any exponents. In this case, we have an exponent of 2 in the expression (-6²).

-6² means -6 raised to the power of 2, which is -6 times -6, or 36. So, we can replace (-6²) with 36 in the expression:

(-4 + 12 - 6²) ÷ 7 = (-4 + 12 - 36) ÷ 7

Then, we perform any multiplication or division, working from left to right. In this case, we have no multiplication or division operations.

Finally, we perform any addition or subtraction, working from left to right. In this case, we have two subtraction operations and one addition operation:

(-4 + 12 - 36) ÷ 7 = (-4 - 24) ÷ 7

Subtracting 4 from 12 gives us 8, and subtracting 8 from 36 gives us 28:

(-4 - 24) ÷ 7 = -28 ÷ 7 = -4

Therefore, the final result of the expression is:

(-4 + 12 - 6²) ÷ 7 = -4.

Answer 2

First, we need to solve the exponent, 6² = 36.

Then, we perform the addition and subtraction inside the parentheses, -4 + 12 - 36 = -28.

Next, we divide -28 by 7, giving us:

(-4 + 12 - 6²) ÷ 7 = (-28) ÷ 7 = -4.

Therefore, the value of the expression is -4.