Question

(3/4)^-2÷(4/5)^-3×(3/5)^-2​

Answer 1

$\huge\mathfrak\blue{Hey..There!!}$

✷ [3/4]^-2 ÷ [4/5]^-3 × [3/5]^-2

→ [4/3]² ÷ [5/4]³ × [5/3]²

→4²/3² ÷ 5³/4³ × 5²/3²

→4²/3² × 4³/5³ × 5²/3²

→4²/3² × 4³/5 × 1/3²

→4^5/5×3⁴

→1024/405 [ANSWER]

✯✯Can also be written as:-

$2 \times \frac{214}{405}$

and

$2.5284$

Hope it helps____✅

Answer 2

Answer:

(3/4)^-2÷(4/5)^-3×(3/5)^-2

Step-by-step explanation:

=(4/3)^2÷(5/4)^3×(5/3)^2

=(16/9÷125/64)×(25/9)

=73.728×25/9

=204.8