The value of the expression is not divisible by 30 and 44.
Explanation:
[tex](5^1^8 - 25^8) (16^4-2^1^3-4^5)\\=(5^1^8 - 5^2^\times^8) (2^4^\times^4 - 2^1^3 - 2^2^\times^5)\\=(5^1^8 - 5^1^6)(2^1^6-2^1^3-2^1^0)\\=(5^2) ( 2^3-2^1^0)\\=(25) (8-1024)\\=(25) \times (-1016)\\= -25400[/tex]
To check the number -25400 be divisible by 30 and 44, divide the number -25400 by 30 and 44
On dividing -25400 by 30 we get, -846.66
On dividing -25400 by 44 we get, -577.27
Therefore,
The value of the expression is not divisible by 30 and 44.