Simplify:

$open parentheses 12 to the power of begin display style 1 fifth end style end exponent over 27 to the power of begin display style 1 fifth end style end exponent close parentheses to the power of 5 over 2 end exponent$

Solution

Solution not provided.
Ans. $2 over 3$

Question

Evaluate:

$open parentheses 32 over 243 close parentheses to the power of negative 4 over 5 end exponent$

Solution

Solution not provided.
Ans. $space space space space 81 over 16$

Question

Solution

Solution not provided.
Ans. 25

Question

Solution

Solution not provided.
Ans. 2 $343 over 729$