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

First, we have the exponent 7^2, which means 7 raised to the power of 2. This equals 49.

Next, we have the expression (-7). Since there are no operations inside the parentheses, we can simply remove them. So (-7) becomes -7.

Finally, we have 49 divided by -7, which equals -7.

Therefore, 7^2:(-7)+7 equals -7.