Solve 60m^8n^2div15m^2n^2

$$60 m ^ { 8 } n ^ { 2 } \div 15 m ^ { 2 } n ^ { 2 }$$

Evaluate

$$4n^{4}m^{10}$$

Solution Steps

Divide 60m^{8}n^{2} by 15 to get 4m^{8}n^{2}.

$$4m^{8}n^{2}m^{2}n^{2}$$

To multiply powers of the same base, add their exponents. Add 8 and 2 to get 10.

$$4m^{10}n^{2}n^{2}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$4m^{10}n^{4}$$

Differentiate w.r.t. m

$$40n^{4}m^{9}$$