Answer:
Option A.
Step-by-step explanation:
The given expression is,
[tex][(64)^{-\frac{1}{2}}]^{-\frac{2}{3}}[/tex]
By solving the given expression,
[tex](64)^{-\frac{1}{2}}=\frac{1}{(64)^{\frac{1}{2}}}[/tex] [Since [tex]a^{-1}=\frac{1}{a}[/tex]]
[tex]=\frac{1}{\sqrt{64}}[/tex]
[tex]=\frac{1}{8}[/tex]
Now the expression will be,
[tex][(64)^{-\frac{1}{2}}]^{-\frac{2}{3}}=(\frac{1}{8})^{-\frac{2}{3}}[/tex]
[tex]=8^{\frac{2}{3}}[/tex]
[tex]={(\sqrt[3]{8})^2}[/tex]
= 2²
= 4
Therefore, value of the given expression will be 4.
Option (A) will be the answer.
