Answer:
[tex]256*a^{20}b^{24}[/tex]
Step-by-step explanation:
We have been given an expression [tex](4a^5b^6)^4[/tex] and we are asked to simplify our given expression.
Using exponent property [tex](a^b)^c=a^{b*c}[/tex] we can rewrite our expression as:
[tex]4^4a^{5*4}b^{6*4}[/tex]
[tex]256*a^{20}b^{24}[/tex]
Therefore, our given expression simplifies to [tex]256*a^{20}b^{24}[/tex].