Question

find x if 16 power -2 /(256) power 1-x =4 power 2x

Answer 1

Answer:X= -4/3

Step-by-step explanation:

Answer 2

The value of x is 4.

Step-by-step explanation:

Given : Expression $\frac{16^{-2}}{(256)^{1-x}}=4^{2x}$

To find : The value of x ?

Solution :

Re-write the expression as,

$\frac{(4^2)^{-2}}{(4^4)^{1-x}}=4^{2x}$

$\frac{(4)^{-4}}{(4)^{4(1-x)}}=4^{2x}$

$(4)^{-4-4(1-x)}=4^{2x}$

Comparing the base,

$-4-4+4x=2x$

$-8=-2x$

$x=\frac{8}{2}$

$x=4$

Therefore, the value of x is 4.

#Learn more

If 4 rais to the power x = 256 , then find the value of 6 rais to the power of 2x-8 ?

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