Solve 26m^4div2m^2=

$$26 m ^ { 4 } \div 2 m ^ { 2 } =$$

Evaluate

$$13m^{6}$$

Solution Steps

Divide 26m^{4} by 2 to get 13m^{4}.

$$13m^{4}m^{2}$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$13m^{6}$$

Differentiate w.r.t. m

$$78m^{5}$$

Steps Using Definition of a Derivative

Divide 26m^{4} by 2 to get 13m^{4}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(13m^{4}m^{2})$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}m}(13m^{6})$$

The derivative of ax^{n} is nax^{n-1}.

$$6\times 13m^{6-1}$$

Multiply 6 times 13.

$$78m^{6-1}$$

Subtract 1 from 6.

$$78m^{5}$$