Question

Which expression is equivalent to (3m^-1n^2)^4/(2m^-2n)^3? Assume M does not equal 0 and does not equal 0.

Answer 1

`((3m^(-1)n^2)^4)/((2m^(-2)n)^3)`
`=(81m^(2)n^(5))/(8)`

Explanation:

`((3m^(-1)n^2)^4)/((2m^(-2)n)^3)`

`=((3^4m^(-4)n^8))/(2^3m^(-6)n^3)`

`=((3^4m^(-4+6)n^(8-3)))/(2^3)`

`=(3^4m^(2)n^(5))/(2^3)`

`=(81m^(2)n^(5))/(8)`