Answer:option B4 a^4 /bStep-by-step explanation:Given in the question an expression √(16 a^8 b^-2)This expression can also be written as √16 . √a^8 . √b^-2Now as we know that√16 = √4² = 4√a^8 = √(a². a² . a² . a²) = √a².√ a².√ a².√ a² = a . a . a . a = a^4√b^-2 = √1/b² = √1 ÷ √b² = 1 ÷ b = 1/bRearranging them4 a^4 1/b = 4 a^4/bSimplified form of √(16 a^8 b^-2) is 4 a^4/b