Answer
$-mp\sqrt [4] {5m^2n}$
Work Step by Step
Rewrite each radicand as the product of two factors such that you can take the 4th root of one of the factors:
$2p\sqrt [4] {3^4 • 5 • m^4 • m^2 • n} - 7m\sqrt [4] {5 • m^2 • n • p^4}$
Take the 4th roots of terms to take them out from under the radical sign:
$2p • 3 • m\sqrt [4] {5m^2n} - 7m • p\sqrt [4] {m^2 • n}$
Multiply the coefficients of each radical:
$6mp\sqrt [4] {5m^2n} - 7mp\sqrt [4] {m^2n}$
Combine like terms:
$-mp\sqrt [4] {5m^2n}$
