Question 978837
{{{sqrt((100x^9y^2z^6)/(4x^6y^3))}}}
cancel 4 into 100
{{{sqrt((25x^9y^2z^6)/(x^6y^3))}}}
Combine like terms (no neg exponents)
{{{sqrt((25x^((9-6))z^6)/(y^((3-2))))}}} = {{{sqrt((25x^3z^6)/(y))}}}
Factor to reveal perfect squares
{{{sqrt((25x^2*x*z^3*z^3)/(y))}}}
extract those perfect squares
{{{5*x*z^3*sqrt(x/y)}}}