Question

9^-3/2=?

Answer 1

6.85x10^-4

Answer 2

9=3^2
(a^b)^c=a^(b*c)

Answer 3

9^-3/2=(3^2)^-3/2=3^-3

Answer 4

\[9^{-\frac{ 3 }{ 2 }}=\frac{ 1 }{ 9^{\frac{ 3 }{ 2 }} }=\frac{ 1 }{ \left( \sqrt{9} \right)^3}=\frac{ 1 }{ 3^3 }=\frac{ 1 }{ 27 }\]