Solve x*p*p*x*x*x*p

$$x \times p \times p \times x \times x \times x \times p$$

Evaluate

$$p^{3}x^{4}$$

Solution Steps

Multiply x and x to get x^{2}.

$$x^{2}ppxxp$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{3}ppxp$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$x^{4}ppp$$

Multiply p and p to get p^{2}.

$$x^{4}p^{2}p$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{4}p^{3}$$

Differentiate w.r.t. x

$$4\left(px\right)^{3}$$