Answer:
The answer will be [tex]\frac{1}{256}[/tex]
Step-by-step explanation:
We have given that [tex]x^{\frac{3}{2}}=64[/tex]
And we have to find the value of [tex](4x)^{\frac{-4}{3}}[/tex]
As [tex]x^{\frac{3}{2}}=64[/tex]
[tex]x=(64)^{\frac{2}{3}}=(4^3)^\frac{2}{3}=4^2=16[/tex]
So the value of x = 16
Now we have to find the value of [tex](4x)^{\frac{-4}{3}}[/tex]
So [tex](4\times 16)^{\frac{-4}{3}}=(64)^{\frac{-4}{3}}=(4^3)^{\frac{-4}{3}}=4^{-4}=\frac{1}{4^4}=\frac{1}{256}[/tex]
