Question

Match the numerical expressions to their simplest forms

Answer 1

`(a^6b^(12))^(1/3)` ========>
`a^2b^4`

`\frac{(a^5b^3)^(1/2) }{(ab)^{- (1)/(2) } }` ======>
`a^3b^2`

`((a^(5) )/( a^(-3) b^(-4) ) )^{ (1)/(4)}` ========>
`a^2b`

`( (a^3)/(ab^(-6) ) )^{ (1)/(2) }` ========>
`ab^3`

Answer 2

The answers are the following:
(a^6b^12)^1/3 = a^2b^4
(a^5b^3)^1/2 / (ab)^-1/2 = a^3b^2
(a^5/a^-3b^-4)^1/4=a^2b
(a^3/ab^-6)^1/2 = ab^3