Solve 5p^3q^4*5pq

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

Evaluate

$$25p^{4}q^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

$$5^{1+1}p^{3+1}q^{4+1}$$

Add the exponents 1 and 1.

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

Raise 5 to the power 2.

$$25p^{3+1}q^{4+1}$$

Add the exponents 3 and 1.

$$25p^{4}q^{4+1}$$

Add the exponents 4 and 1.

$$25p^{4}q^{5}$$

Differentiate w.r.t. p

$$100p^{3}q^{5}$$