Question

find the value of
4√64^-2​

Answer 1

Answer:

1/√8

Step-by-step explanation:

4th root of √64^-2​ = (√64)^-(2/4)

                              = 64^(-2/(4 x 2))

                              = 64^(-2/8)

                              = 1/64^(1/4)

64 = 2^6

∴ 1/64^(1/4) = 1/2^(6/4)

                 = 1/2^(3/2)

                 = 1/√8

Hope this helps! :)