(Laws of Exponents with Integer Exponents MC)Which expression is equivalent to (8−2 • 35)−2?

The expression (8−2 • 35)−2 can be simplified as follows:

Step 1: Perform the multiplication operation first according to the order of operations (PEMDAS/BODMAS), which states that multiplication and division should be performed before addition and subtraction.

So, 2 • 35 = 70.

Step 2: Substitute this value back into the expression to get:

8 - 70 = -62.

Step 3: Now, raise -62 to the power of -2.

The negative exponent rule states that a^-n = 1/a^n.

So, (-62)^-2 = 1/(-62)^2.

Step 4: Square -62 to get 3844.

So, 1/3844 is the simplified form of the given expression.

The expression (8−2 • 35)−2 can be simplified as follows:

Step 1: Perform the multiplication operation first according to the order of operations (PEMDAS/BODMAS), which states that multiplication and division should be performed before addition and subtraction.

So, 2 • 35 = 70.

Now, the expression becomes (8 - 70)−2.

Step 2: Perform the subtraction operation.

8 - 70 = -62.

So, the expression becomes (-62)−2.

Step 3: The exponent of -2 means that we should take the reciprocal of -62 squared.

So, (-62)−2 = 1/(-62)^2.

Step 4: Square -62.

(-62)^2 = 3844.

So, the expression becomes 1/3844.

Therefore, the expression (8−2 • 35)−2 is equivalent to 1/3844.