Respuesta :

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].