# Divide (16xmn^2+10xm^2*(20x^2mn))/(4xm^2n)

16xmn2+10xm2⋅(20x2mn)4xm2n
Simplify the numerator.
Factor 2xmn out of 16xmn2+10xm2⋅(20x2mn).
Factor 2xmn out of 16xmn2.
2xmn(8n)+10xm2⋅(20x2mn)4xm2n
Factor 2xmn out of 10xm2⋅(20x2mn).
2xmn(8n)+2xmn(5m⋅(20x2m))4xm2n
Factor 2xmn out of 2xmn(8n)+2xmn(5m⋅(20x2m)).
2xmn(8n+5m⋅(20x2m))4xm2n
2xmn(8n+5m⋅(20x2m))4xm2n
Combine exponents.
Multiply 20 by 5.
2xmn(8n+100m⋅(x2m))4xm2n
Raise m to the power of 1.
2xmn(8n+100(m1m)⋅x2)4xm2n
Raise m to the power of 1.
2xmn(8n+100(m1m1)⋅x2)4xm2n
Use the power rule aman=am+n to combine exponents.
2xmn(8n+100m1+1⋅x2)4xm2n
2xmn(8n+100m2⋅x2)4xm2n
2xmn(8n+100m2⋅x2)4xm2n
Factor 4 out of 8n+100m2⋅x2.
Factor 4 out of 8n.
2xmn(4(2n)+100m2⋅x2)4xm2n
Factor 4 out of 100m2⋅x2.
2xmn(4(2n)+4(25m2⋅x2))4xm2n
Factor 4 out of 4(2n)+4(25m2⋅x2).
2xmn(4(2n+25m2⋅x2))4xm2n
2xmn(4(2n+25m2x2))4xm2n
2xmn(4(2n+25m2x2))4xm2n
Multiply 4 by 2.
8xmn(2n+25m2x2)4xm2n
Cancel the common factor of 8 and 4.
Factor 4 out of 8xmn(2n+25m2x2).
4(2xmn(2n+25m2x2))4xm2n
Cancel the common factors.
Factor 4 out of 4xm2n.
4(2xmn(2n+25m2x2))4(xm2n)
Cancel the common factor.
4(2xmn(2n+25m2x2))4(xm2n)
Rewrite the expression.
2xmn(2n+25m2x2)xm2n
2xmn(2n+25m2x2)xm2n
2xmn(2n+25m2x2)xm2n
Cancel the common factor of x.
Cancel the common factor.
2xmn(2n+25m2x2)xm2n
Rewrite the expression.
2mn(2n+25m2x2)m2n
2mn(2n+25m2x2)m2n
Cancel the common factor of m and m2.
Factor m out of 2mn(2n+25m2x2).
m(2n(2n+25m2x2))m2n
Cancel the common factors.
Factor m out of m2n.
m(2n(2n+25m2x2))m(mn)
Cancel the common factor.
m(2n(2n+25m2x2))m(mn)
Rewrite the expression.
2n(2n+25m2x2)mn
2n(2n+25m2x2)mn
2n(2n+25m2x2)mn
Cancel the common factor of n.
Cancel the common factor.
2n(2n+25m2x2)mn
Rewrite the expression.
2(2n+25m2x2)m
2(2n+25m2x2)m
Apply the distributive property.
2(2n)+2(25m2x2)m
Multiply 2 by 2.
4n+2(25m2x2)m
Multiply 25 by 2.
4n+50m2x2m
Split the fraction 4n+50m2x2m into two fractions.
4nm+50m2x2m
Cancel the common factor of m2 and m.
Factor m out of 50m2x2.
4nm+m(50mx2)m
Cancel the common factors.
Raise m to the power of 1.
4nm+m(50mx2)m1
Factor m out of m1.
4nm+m(50mx2)m⋅1
Cancel the common factor.
4nm+m(50mx2)m⋅1
Rewrite the expression.
4nm+50mx21
Divide 50mx2 by 1.
4nm+50mx2
4nm+50mx2
4nm+50mx2
Divide (16xmn^2+10xm^2*(20x^2mn))/(4xm^2n)

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