Answer:
Option C
(5/8)^-1 * (0.42)²
Any fraction to the power of -1 is its denominator over its numerator. So (5/8)^-1 = 8/5 = 1.6
This would make the simplified expression (1.6)(0.42)² which is seen in Option C.
Why the other options are wrong:
Option A is not correct because (5/8)^-1= 1.6 not 0.625.
Option B is not correct because (0.42)² does not equal (1/0.42)². This is only true if it was (0.42)^-2.
Option D is not correct because (5/8)^-1 * (0.42)² = 1.6 * 0.1764 which is about 0.28 & not 0.11.