Question

Which is the simplified form of the expression

Answer 1

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