The simplification of the expression [tex](6^4)^2[/tex] is [tex]6^8[/tex] and this can be determined by using arithmetic operations.
Given :
Expression - [tex](6^4)^2[/tex]
The following steps can be used to simplify the given expression:
Step 1 - First write 6 as the multiplication of 2 and 3.
[tex]=((2\times 3)^4)^2[/tex]
Step 2 - Further simplify the above expression.
[tex]=(2^4\times 3^4)^2[/tex]
Step 3 - Again simplify the above expression.
[tex]=(2^8)\times (3^8)[/tex]
Step 4 - Rewrite the above expression.
[tex]= 6^8[/tex]
The simplification of the expression [tex](6^4)^2[/tex] is [tex]6^8[/tex] and this can be determined by using arithmetic operations.
For more information, refer to the link given below:
https://brainly.com/question/3075170
