) $$ \left(8^{5}\right)^{2}:\left(2^{3}\right)^{x^{3}}= $$

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Para resolver la expresión $$ \left(8^{5}\right)^{2}:\left(2^{3}\right)^{x^{3}} $$, primero simplificamos cada parte.

1. **Simplificar $$ \left(8^{5}\right)^{2} $$**:
   $$
   8^{5} = (2^{3})^{5} = 2^{15}
   $$
   Entonces,
   $$
   \left(8^{5}\right)^{2} = (2^{15})^{2} = 2^{30}
   $$

2. **Simplificar $$ \left(2^{3}\right)^{x^{3}} $$**:
   $$
   \left(2^{3}\right)^{x^{3}} = 2^{3x^{3}}
   $$

3. **Ahora sustituimos en la expresión original**:
   $$
   2^{30} : 2^{3x^{3}} = 2^{30 - 3x^{3}}
   $$

Por lo tanto, la expresión simplificada es:
$$
2^{30 - 3x^{3}}
$$
La expresión simplificada es $$ 2^{30 - 3x^{3}} $$.

)

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