To divide by a fraction, multiply by its reciprocal.

Factor out of .

Factor out of .

Factor out of .

Cancel the common factor of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Combine exponents.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move to the left of .

Simplify ((e(3m^2+15m))/(m^2))÷((30m)/(m^2+5m))