Solve 72x^2y^5div4x^4y^3

$$72 x ^ { 2 } y ^ { 5 } \div 4 x ^ { 4 } y ^ { 3 }$$

Evaluate

$$18x^{6}y^{8}$$

Solution Steps

Divide 72x^{2}y^{5} by 4 to get 18x^{2}y^{5}.

$$18x^{2}y^{5}x^{4}y^{3}$$

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

$$18x^{6}y^{5}y^{3}$$

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$18x^{6}y^{8}$$

Differentiate w.r.t. x

$$108x^{5}y^{8}$$