Given exponential expression : [tex](4a^4b)^2[/tex].
According to exponents of exponent rule, we need to distribute whole exponent over exponents of inside terms of parenthesis.
We are given whole exponent 2 there.
We can apply exponents of exponent rule.
Therefore,
[tex](4a^4b)^2 = 4^2 a^{4\times2}b^2[/tex]
[tex]4^2= 16.[/tex]
[tex]a^{4\times2} = a^8[/tex]
Therefore, [tex]4^2 a^{4\times2}b^2 = 16a^8b^2.[/tex]