When there's multiplication and division, they have the same priority. We will work from left to right.

In PEMDAS, division and multiplication comes before addition and subtraction. Therefore,

In PEMDAS, we have parantheses so those come first.

Next, multiplication has priority over subtraction.

The answer is 1.

The correct order of operations is parenthesis, exponents, multiplication and division, then addition and subraction.

(11) * (4 – 3)2 – (22 + 6)

(11) * (1)2 – (4 + 6)

(11) * (1) – (10)

(11) – (10) = 1

To solve this problem, we first evaluate 8★2 and then see which of the answer choices is equal to the resulting number. Using the definition of ★, we see that 8★2 = 8(22) = 8(4) = 32. The only answer choice that is equivalent to 32 is 2★4, which evaluates to 2(42) = 32.

(Tip: If we quickly scan the answer choices by squaring the number on the right of the symbol, we immediately see that 3★6 and 1★32 are too big to be 32, even before being multiplied by any of the integers on the left of the symbol.)

The square root of 4 is 2. 2 + 2 = 4. Four squared is 16.

In PEMDAS, we will apply the parentheses from left to right. Then we apply the exponent and addition inside the parentheses. Finally, we do division.

Therefore,

In PEMDAS, the paranthesis comes first followed by the exponent. We have subtraction so the difference is . We square this to get .

The order of operations dictates that any operations within grouping symbols, such as parentheses, be carried out first; in this expression. There are two expressions - an exponentiation (squaring) and an addition - that fall between the parentheses; by the order of operations, the squaring is carried out, then the addition.

This leaves a multiplication, a division, and a subtraction. Multiplication and division have precedence over subtraction; since the multiplication appears first in left-to-right order, the multiplication is carried out next. This makes multiplication the correct response.