Question

Which is the correct simplified form of the expression ?(4m-2n8/9m-6n-8)1/2

Answer 1

 the answer is 2m-8/9mn-3n-4

Answer 2

`(2m^2n^8)/(3)`

Explanation:

The given expression is:

`((4m^(-2)n^8)/(9m^(-6)n^(-8)  ))^{(1)/(2)}`

Upon simplifying the above equation, we get

Move
`m^(-6)` to teh numerator and Using the negative exponent rule, we get

=
`((4m^(-2)n^8m^6)/(9n^(-8)  ))^{(1)/(2)}`

Move
`n^(-8)` to teh numerator and Using the negative exponent rule, we get

=
`((4m^(-2)n^8m^6n^8)/(9))^{(1)/(2)}`

=
`((4m^(4)n^(16))/(9))^{(1)/(2)}`

=
`(((2)^2(m^2)^2(n^8)^2)/((3)^2))^{(1)/(2)}`

=
`(2m^2n^8)/(3)`

which is the correct simplified form of the given expression.