Solve x^{10}y^{10}quadx^{9}y^9quadxy^10quadx^4y^6

$$x ^ { 10 } y ^ { 10 } \quad x ^ { 9 } y ^ { 9 } \quad x y ^ { 10 } \quad x ^ { 4 } y ^ { 6 }$$

Evaluate

$$x^{24}y^{35}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 10 and 9 to get 19.

$$x^{19}y^{10}y^{9}xy^{10}x^{4}y^{6}$$

To multiply powers of the same base, add their exponents. Add 19 and 1 to get 20.

$$x^{20}y^{10}y^{9}y^{10}x^{4}y^{6}$$

To multiply powers of the same base, add their exponents. Add 20 and 4 to get 24.

$$x^{24}y^{10}y^{9}y^{10}y^{6}$$

To multiply powers of the same base, add their exponents. Add 10 and 9 to get 19.

$$x^{24}y^{19}y^{10}y^{6}$$

To multiply powers of the same base, add their exponents. Add 19 and 10 to get 29.

$$x^{24}y^{29}y^{6}$$

To multiply powers of the same base, add their exponents. Add 29 and 6 to get 35.

$$x^{24}y^{35}$$

Differentiate w.r.t. x

$$24x^{23}y^{35}$$