Solve 12x^{3}y^{4}24x^2y^5144x^4y^6

$$12 x ^ { 3 } y ^ { 4 } 24 x ^ { 2 } y ^ { 5 } 144 x ^ { 4 } y ^ { 6 }$$

Evaluate

$$41472x^{9}y^{15}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$12x^{5}y^{4}\times 24y^{5}\times 144x^{4}y^{6}$$

To multiply powers of the same base, add their exponents. Add 5 and 4 to get 9.

$$12x^{9}y^{4}\times 24y^{5}\times 144y^{6}$$

To multiply powers of the same base, add their exponents. Add 4 and 5 to get 9.

$$12x^{9}y^{9}\times 24\times 144y^{6}$$

To multiply powers of the same base, add their exponents. Add 9 and 6 to get 15.

$$12x^{9}y^{15}\times 24\times 144$$

Multiply 12 and 24 to get 288.

$$288x^{9}y^{15}\times 144$$

Multiply 288 and 144 to get 41472.

$$41472x^{9}y^{15}$$

Differentiate w.r.t. x

$$373248x^{8}y^{15}$$