To simplify the expression 5 + 4⋅(8−6)², we first need to solve the part inside the parentheses, (8−6), which is equal to 2.
So, the expression becomes 5 + 4⋅2².
Next, we need to evaluate the exponent, 2², which means 2 raised to the power of 2.
2² = 2 * 2 = 4.
Now, the expression becomes 5 + 4⋅4.
Next, we need to perform the multiplication operation, 4⋅4, which equals 16.
Now, the expression becomes 5 + 16.
Finally, we can now solve the addition operation, 5 + 16, which equals 21.
Therefore, the simplified expression is 21.