Question

Which expression is equivalent to (m^8n^−4)^14 ?

mn

m^2/n

1/mn

m^4n

Answer 1

Which expression is equivalent to
`(m^8* n^-4)^ 1/4`

Answer:

m^2/n

Explanation:

Given.

I assume this is your expression:

The expression is
`=(m^(8) * n^(-4) )^{(1)/(4) }`

Now simplify the expression by multiplying the power.

`=(m^{8* (1)/(4)} * n^{-4* (1)/(4)}} )`

`=(m^(2) * n^(-1) )`

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

So, the expression is equivalent to
`(m^(2))/(n)`