Question

How do you simplify `(a^½ b)^½(ab^½)`?

Answer 1

`=a^(5/4)b`

Explanation:

`(a^½ b)^½(ab^½)`
`=a^(1/2xx1/2) b^(1/2)ab^(1/2)`
`=a^(1/4+1)b^(1/2+1/2)`
`=a^((1+4)/4)b^((1+1)/2)`
`=a^(5/4)b^((2/2)`
`=a^(5/4)b`
Using formula
`(a^m)^n=a^(mxxn)`
`a^mxxa^n=a^(m+n)`