Question

Which expression is equivalent to 144^3/2?

Answer 1

144=12², so 144^3/2=(12²)^(3/2)=12³=1728

Answer 2

we are given

`(144)^{(3)/(2) }`

we can write it as

`144=12 * 12`

`144=12^2`

we can replace it as

`(144)^{(3)/(2) }=(12^2)^{(3)/(2) }`

`(144)^{(3)/(2) }=(12)^{2*(3)/(2) }`

`(144)^{(3)/(2) }=(12)^(3 )`

`(144)^{(3)/(2) }=1728`...............Answer