Answer:
65
Step-by-step explanation:
Let's work on the nasty bracket at the top: [3 * 2^5 - 13 * (-2)].
First, focus on the 3 * 2^5 part. 2^5 is just 2 * 2 * 2 * 2 * 2 = 32, so multiply 3 by 32: 3 * 32 = 96. Now turn to the -13 * (-2) part. Remember that when multiplying two negatives together, we get a positive, so -13 * (-2) = 26. Our numerator is now 96 + 26 + 2^3. 2^3 is simply 2 * 2 * 2 = 8, so the number in the numerator is 96 + 26 + 8 = 130.
For the denominator, let's work on the -2^2 + 3^2 part first. 2^2 is 2 * 2 = 4, so -2^2 is just -4. 3^2 is 3 * 3 = 9, so adding those, we get -4 + 9 = 5. Then we subtract 3 from this: 5 - 3 = 2.
Our simplified expression is 130/2 = 65.
Hope this helps!
