Question

7..........:.........

Answer 1

Answer:

option B

4 a^4 /b

Step-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^-2

Now 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/b

Rearranging them

4 a^4 1/b = 4 a^4/b

Simplified form of √(16 a^8 b^-2) is  4 a^4/b