Question

please answer this question​

Answer 1

Step-by-step explanation:

Given :

⟶ (81/625)^-3/4 × [(25/9)^-3/2 + (5/2)^-3]

To find :

⟶ The simplified value.

Solution :

⟶ (81/625)^-3/4 × [(25/9)^-3/2 + (5/2)^-3]

⟶ (3^4/2^4)^-3/4 × [(5^2/3^2)^-3/2 + (5/2)^-3]

⟶ [(3/5)⁴]^(-3/4) ×[ {(5/3)²}^(-3/2) + (5/2)^-3]

⟶ (3/5)^(4×-3/4) ×[(5/3)^(2×-3/2) +(5/2)^-3]

⟶ (3/5)^-3 × [(5/3)^-3 + (5/2)^-3]

⟶ (5/3)³ ×[(3/5)³+(2/5)³]

⟶ (125/27) ×[(27+8)/125]

⟶ (125×35)/(27×125)

⟶ 35/27

∴ 35/27 is the simplified value.

Learn more :

⟶ https://brainly.in/question/724778

⟶ Simplify-[81/16]^-3/4 multiplied by [25/9]^-3/2 divided by[5/2]^-3