Question

how can you solve 9^(3/2)?? without caluclator

Answer 1

= (square root of 9) cubed

Answer 2

= 3 ^3 = 27

Answer 3

ok so for 4^(3/2) would be 8

Answer 4

Yes. As you know
\[(x^{a})^{b}= x^{ab}= (x^{b})^{a}\]
so you can re-write
\[4^{\frac{3}{2}}=(4^{\frac{1}{2}})^{3}\]
and of course a power of 1/2 means take the square root,
so we get 2^3= 8