Question

Evaluate :-
(3/11)^-6×(3/11)^-5​

Answer 1

$\red{\sf {question: }}$

Evaluate :-

(3/11)^-6×(3/11)^-5

This can also be written as

$\purple{\sf {( \frac{3}{11}) {}^{ - 6} \times ( \frac{3}{11}) {}^{ - 5} }}$

$\red{\sf {answer: }}$

$\pink{\sf {( \frac{3}{11}) {}^{ - 6} \times ( \frac{3}{11}) {}^{ - 5} }}$

$\pink{\sf{ \implies \: ( \frac{3}{11} ){}^{ -( 6 - 5)} }}$

$\pink{\sf { \implies (\frac{3}{11}) {}^{( - 11)} }}$

$\pink{\sf { \implies \: ( \frac{11}{3}) {}^{11} }}$

Answer 2

Answer:

$( { \frac{3}{11} })^{ - 6} \times ({ \frac{3}{11} })^{ - 5} = ({ \frac{3}{11}) }^{ - 6 + - 5} \\ \\ \\ = ({ \frac{3}{11} )}^{ - 11}$