To calculate 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, let's simplify the calculations within the parentheses: (0.0016)^6 = 0.0016 * 0.0016 * 0.0016 * 0.0016 * 0.0016 * 0.0016 = 6.5536e-21
Now, let's calculate the multiplication: (0.0016)^6 * 5^25 = 6.5536e-21 * 5^25
Next, let's simplify the exponentiation: 5^25 = 88817841970012523233890533447265625
Finally, let's calculate the final result: 6.5536e-21 * 88817841970012523233890533447265625 = 5.816264e-5
Therefore, (0.0016)^6 * 5^25 = 5.816264e-5.
