Question

evaluate (243/32)raised to power -4/5

Answer 1

Hey bro!
#Ur Ans

____________

first we find the prime factors of the numbers
then

243 = 3×3×3×3×3
32 = 2×2×2×2×2

so

we can writen as

(243/32)^-4/5
$= > ( \frac{ {3}^{} }{2} {)}^{ \frac{ - 4 \times 5}{5} } \\ \\ = > ( \frac{3}{2} {)}^{ - 1} \\ \\ = > \frac{2}{3} \: ans \\ \\ hope \: its \: helpful$

Answer 2

Heya ✋

Let see your answer !!!!!
$( \frac{243}{32}) ^{ \frac{ - 4}{5} } \\ = ( \frac{3}{2}) ^{ \frac{5 \times ( - 4)}{5} } \\ = ( \frac{3}{2}) ^{ - 4} \\ = ( \frac{2}{3}) ^{4} \\ = \frac{16}{81}$


Thanks :)))))