Solve 12k^2m^8div4km^5quad

$$12 k ^ { 2 } m ^ { 8 } \div 4 k m ^ { 5 } \quad$$

Evaluate

$$3k^{3}m^{13}$$

Solution Steps

Divide 12k^{2}m^{8} by 4 to get 3k^{2}m^{8}.

$$3k^{2}m^{8}km^{5}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$3k^{3}m^{8}m^{5}$$

To multiply powers of the same base, add their exponents. Add 8 and 5 to get 13.

$$3k^{3}m^{13}$$

Differentiate w.r.t. k

$$9k^{2}m^{13}$$