Question

Which is the simplified form?

Answer 1

$\dfrac{(6^{-4})^{-9}}{6^6}=\dfrac{6^{-4\cdot(-9)}}{6^6}=\dfrac{6^{36}}{6^6}=6^{36-6}=\boxed{6^{30}}\\\\Used:(a^n)^m=a^{n\cdot m}\ and\ \dfrac{a^n}{a^m}=a^{n-m}.$