12 + ( 2 exponent 3 divided by 2/3 ) - 2

1 answer

To solve this problem, we need to follow the order of operations: parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).

First, we evaluate the exponent: 2^3 = 8.

Next, we divide 8 by 2/3. To divide by a fraction, we multiply by its reciprocal.

8 / (2/3) = 8 * (3/2) = 24/2 = 12.

Now, we can substitute the evaluated values back into the original expression:

12 + 12 - 2.

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

12 + 12 = 24.
24 - 2 = 22.

Therefore, the final answer is 22.