Solve 2p^2q^3*3p^4q^5

$$2 p ^ { 2 } q ^ { 3 } \times 3 p ^ { 4 } q ^ { 5 }$$

Evaluate

$$6p^{6}q^{8}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$2^{1}p^{2}q^{3}\times 3^{1}p^{4}q^{5}$$

Use the Commutative Property of Multiplication.

$$2^{1}\times 3^{1}p^{2}p^{4}q^{3}q^{5}$$

To multiply powers of the same base, add their exponents.

$$2^{1}\times 3^{1}p^{2+4}q^{3+5}$$

Add the exponents 2 and 4.

$$2^{1}\times 3^{1}p^{6}q^{3+5}$$

Add the exponents 3 and 5.

$$2^{1}\times 3^{1}p^{6}q^{8}$$

Multiply 2 times 3.

$$6p^{6}q^{8}$$

Differentiate w.r.t. p

$$36p^{5}q^{8}$$