# If 2^x – 2^x-1=4 then the value of x^x is

**Answer: (4) 27 **

**Explanation:-**

2^x – 2^x – 1 = 4

2^x (1 – 1/2) = 4

2^x /2 = 4

2^x = 4 x 2

2^x = 2^3

Compared the equation,

x = 3

Then, the value of x^x = 3^3

= 3 x 3 x 3

= 27

Then, the value of x^x is 27.

Hence, the answer is (4) 27.