Question

Please solve this Laws of Indices problem​

Answer 1

Answer:

5^-2/3*5^-1/3*3^-1/3*3^-11/3=

3^-4 *5^-1

Step-by-step explanation:

Answer 2

Answer:

$\frac{1}{405}$

Step-by-step explanation:

$5^{-\frac{2}{3} } *15^{-\frac{1}{3} }*3^{-\frac{11}{3} }$ = $5^{-\frac{2}{3} } *(3*5)^{-\frac{1}{3} }*3^{-\frac{11}{3} }$ = $5^{-\frac{2}{3} }*5^{-\frac{1}{3} }*3^{-\frac{11}{3} }*3^{-\frac{1}{3} }$ = $5^{-1}*3^{-4}$

$5^{-1}*3^{-4} = \frac{1}{5*3^{4} } = \frac{1}{405}$