Question

Simplify the following expression.

Answer 1

$4^{-\frac{11}{3}}\div4^{-\frac{2}{3}}=4^{-\frac{11}{3}-\left(-\frac{2}{3}\right)}=4^{-\frac{11}{3}+\frac{2}{3}}=4^{-\frac{9}{3}}=4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{64}\\\\Used:\\\\a^n:a^m=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}$