The given expression is:
[tex](6\cdot3)^5[/tex]
The index 5 indicates that this term is multiplied by itself 5 times:
(6*3)(6*3)(6*3)(6*3)(6*3)
According to the laws of exponents, if you raise to a certain power a term on parentheses, you can distribute said exponent to each term inside the parentheses, symbolically:
[tex](a\cdot b)^c=a^c\cdot b^c[/tex]
Considering this you can rewrite the given exponent as:
[tex](6\cdot3)^5=6^5\cdot3^5[/tex]
So the equivalent expression is C.
