Solve p*p*q*q*r*s

$$p \cdot p \cdot q \cdot q \cdot r \cdot s$$

Evaluate

$$rs\left(pq\right)^{2}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$r^{1}p^{1}q^{1}s^{1}p^{1}q^{1}$$

Use the Commutative Property of Multiplication.

$$r^{1}s^{1}p^{1}p^{1}q^{1}q^{1}$$

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

$$r^{1}s^{1}p^{1+1}q^{1+1}$$

Add the exponents 1 and 1.

$$r^{1}s^{1}p^{2}q^{1+1}$$

Add the exponents 1 and 1.

$$r^{1}s^{1}p^{2}q^{2}$$

Multiply r times s.

$$rsp^{2}q^{2}$$

Differentiate w.r.t. r

$$s\left(pq\right)^{2}$$