If x^ (3/ 2) = 64, find the value of (4x)^−3 /4.

Question

asked May 3, 2020 59.4k views

1 Answer

Mahsum Akbas · Answer 1 · 2020-05-10T07:26:14+0000

Answer:

The answer will be
(1)/(256)

Explanation:

We have given that
$x^{(3)/(2)}=64$

And we have to find the value of
$(4x)^{(-4)/(3)}$

As
$x^{(3)/(2)}=64$

$x=(64)^{(2)/(3)}=(4^3)^(2)/(3)=4^2=16$

So the value of x = 16

Now we have to find the value of
$(4x)^{(-4)/(3)}$

So
$(4* 16)^{(-4)/(3)}=(64)^{(-4)/(3)}=(4^3)^{(-4)/(3)}=4^(-4)=(1)/(4^4)=(1)/(256)$