Question

Evaluate (33/243)^6/5

Answer 1

[AI-generated answer — Bot GPT 3.5]

To evaluate (33/243)^6/5, we first need to simplify the expression inside the parentheses.

33/243 simplifies to 1/7.

Now we have (1/7)^6/5. To raise a fraction to a power, we raise both the numerator and denominator to that power.

(1/7)^6 = 1^6 / 7^6 = 1/117649
(1/7)^5 = 1^5 / 7^5 = 1/16807

Therefore, (1/7)^6/5 = 1/117649 / 1/16807 = 1/117649 * 16807/1 = 16807/117649 = 1/7

Therefore, (33/243)^6/5 = 1/7.