Final answer:
The value of the expression is 15.91.
Step-by-step explanation:
The given expression is √(2a²b⁴) - (a-c)/(b c)². To find its value, substitute the given values for a, b, and c which are a = 4, b = 2, and c = -5. Simplifying the expression using the given values, we get:
√(2(4)²(2)⁴) - (4-(-5))/((2)(-5))²
√(2(16)(16)) - (4+5)/(-10)²
&8730;(512) - 9/100
16 - 0.09
The value of the expression is 15.91.