Question

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

Answer 1

[(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

Answer 2

Step-by-step explanation:

$\huge \pmb{ \frak{ \red{Answer \: \: is \: \: 1}}}$