Question

solve the above question​

Answer 1

Answer:

625/81 or (5/3)⁴ is the answer

Step-by-step explanation:

(3125/243)⁴/⁵

3125 = 5 x 5 x 5 x 5 x 5  = 5⁵

243 = 3 x 3 x 3 x 3 x 3  = 3⁵

(5/3)⁵ˣ ⁴/5

(5/3)⁴

5⁴ = 5 x 5 x 5 x 5 = 625

3⁴ = 3 x 3 x 3 x 3  = 81

S0,   (5/3)⁴ = 625/81

Answer 2

$3125 = {5}^{5} \\ 243 = {3}^{5} \\ ( \frac{3125}{243} ) {}^{ \frac{4}{5} } = { (\frac{ {5}^{5} }{ {3}^{5} } )}^{ \frac{4}{5} } = { (\frac{5}{3}) }^{ \frac{5 \times 4}{5} } = { (\frac{5}{3}) }^{4} \\ = \frac{625}{81}$