Solve 22x^11m^33div11x^11m^11=

$$22 x ^ { 11 } m ^ { 33 } \div 11 x ^ { 11 } m ^ { 11 } =$$

Evaluate

$$2x^{22}m^{44}$$

Solution Steps

Divide 22x^{11}m^{33} by 11 to get 2x^{11}m^{33}.

$$2x^{11}m^{33}x^{11}m^{11}$$

To multiply powers of the same base, add their exponents. Add 11 and 11 to get 22.

$$2x^{22}m^{33}m^{11}$$

To multiply powers of the same base, add their exponents. Add 33 and 11 to get 44.

$$2x^{22}m^{44}$$

Differentiate w.r.t. x

$$44x^{21}m^{44}$$