F. \( \left((-8)^{10}\right)^{3} \)

To simplify \( \left((-8)^{10}\right)^{3} \), you can use the power of a power rule in exponentiation, which states that \( (a^m)^n = a^{m \cdot n} \). This means: \[ \left((-8)^{10}\right)^{3} = (-8)^{10 \cdot 3} = (-8)^{30} \] Next, to evaluate \( (-8)^{30} \), you can consider the fact that raising a negative number to an even power yields a positive result, so: \[ (-8)^{30} = 8^{30} \] Now, while we could expand it fully, it's evident that the expression results in a very large positive number. The final answer is: \[ (-8)^{30} = 8^{30} \]