:\left(\frac{81}{16}\right)^{-3 / 4} \times\left\{\left(\frac{25}{9}\r

1.	:\left(\frac{81}{16}\right)^{-3 / 4} \times\left\{\left(\frac{25}{9}\right)^{-\frac{12}{2}} \div\left(\frac{5}{2}\right)^{-3}\right\} ]
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.

:\left(\frac{81}{16}\right)^{-3 / 4} \times\left\{\left(\frac{25}{9}\right)^{-\frac{12}{2}} \div\left(\frac{5}{2}\right)^{-3}\right\} ]

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.