\( 4 \times \) Simplify \( 6^{5} \times 6^{-4} \) \( 4 \times \) A \( ^{6^{-20}} \) \( 4 \times \quad \) B \( \frac{1}{6^{9}} \) \( 4 \times \quad \) D \( \frac{1}{6^{5}} \)

To simplify \( 6^{5} \times 6^{-4} \), we can use the property of exponents that states \( a^{m} \times a^{n} = a^{m+n} \). Here, \( m = 5 \) and \( n = -4 \). So, \[ 6^{5} \times 6^{-4} = 6^{5 + (-4)} = 6^{1} = 6. \] Now, let’s check the options given. The provided choices look like an equation with multiple options for the answer: - A: \( 6^{-20} \) - B: \( \frac{1}{6^{9}} \) - D: \( \frac{1}{6^{5}} \) None of the options seem to match the simplified answer \( 6 \), so it appears that none of the answer choices is correct. In summary, the correct answer is just \( 6 \), and all options listed do not apply in this case.