Math, asked by gurleen8367, 9 months ago

8) Prove that (81/16)^-3/4×{(25/9)^-3/2÷(5/2)^-3}= 1

Answers

Answered by dhareaveer
2

Answer:

[(81/16)⁻³/⁴×(25/9)⁻³/²]/(5/2)⁻³

=[(3⁴/2⁴)⁻³/⁴×(5²/3²)⁻³/²]/(5/2)⁻³

=[(3/2)⁻³×(5/3)⁻³]/(5/2)⁻³

=(3⁻³×5⁻³×2⁻³)/(2⁻³×3⁻³×5⁻³)

=1

Answered by Anonymous
2

Answer:

The simplified value is 1

Step-by-step explanation:

Attachments:
Similar questions