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

First, let's simplify the exponents:
10^2.9^2 = 10^(2.9*2)

Next, let's calculate the exponent 2.9*2:
2.9*2 = 5.8

Now, we can rewrite the expression:
10^(2.9*2) = 10^5.8

Finally, let's calculate 10^5.8:
10^5.8 ≈ 63095734.448

Now, let's divide this result by 8^2:
63095734.448 / 8^2 = 63095734.448 / 64 ≈ 985871.096