Answer:
[tex]\frac{1}{405}[/tex]
Step-by-step explanation:
[tex]5^{-\frac{2}{3} } *15^{-\frac{1}{3} }*3^{-\frac{11}{3} }[/tex] = [tex]5^{-\frac{2}{3} } *(3*5)^{-\frac{1}{3} }*3^{-\frac{11}{3} }[/tex] = [tex]5^{-\frac{2}{3} }*5^{-\frac{1}{3} }*3^{-\frac{11}{3} }*3^{-\frac{1}{3} }[/tex] = [tex]5^{-1}*3^{-4}[/tex]
[tex]5^{-1}*3^{-4} = \frac{1}{5*3^{4} } = \frac{1}{405}[/tex]
