Respuesta :

Answer: [tex]4^0[/tex]

Step-by-step explanation:

[tex]4^5*4^-^7/4^-^2[/tex]

Rewriting this;

[tex]\frac{4^5*4^-^7}{4^-^2}[/tex]

When you multiply by the same base, you add exponents.

[tex]\frac{4^5^+^(^-^7^)}{4^-^2}[/tex]

[tex]\frac{4^5^-^7}{4^-^2}[/tex]

[tex]\frac{4^-^2}{4^-^2}[/tex]

When you divide by the same base, you subtract exponents.

[tex]4^-^2^-^(^-^2^)[/tex]

[tex]4^-^2^+^2\\4^0[/tex]