To simplify the expression, we can follow the order of operations (PEMDAS/BODMAS):

First, we calculate the values inside the parentheses:
5².4 = 25 * 4 = 100
2².15 = 4 * 15 = 60

Next, we add the values inside the parentheses:
100 + 60 = 160

Now, we can substitute the simplified value back into the expression:
3².10³ - [13² - 160].10³

Next, we calculate the values inside the brackets:
13² = 169

Now, we substitute the value back into the expression:
3².10³ - [169 - 160].10³

Next, we calculate the values inside the brackets:
169 - 160 = 9

Now, we substitute the value back into the expression:
3².10³ - 9.10³

Next, we calculate the values with exponents:
3² = 9
10³ = 1000

Now, we substitute the values back into the expression:
9.1000 - 9.1000

Next, we calculate the values:
9.1000 = 9000

Now, we substitute the value back into the expression:
9000 - 9000

Finally, we calculate the values:
9000 - 9000 = 0

Therefore, the simplified expression is 0.