Solve rr*r^11=

$$r r \times r ^ { 11 } =$$

Evaluate

$$r^{13}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$r^{1}r^{1}r^{11}$$

Use the Multiplication Rule for Exponents.

$$r^{1+1+11}$$

Add the exponents 1 and 1.

$$r^{2+11}$$

Add the exponents 2 and 11.

$$r^{13}$$

Differentiate w.r.t. r

$$13r^{12}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}r}(r^{2}r^{11})$$

To multiply powers of the same base, add their exponents. Add 2 and 11 to get 13.

$$\frac{\mathrm{d}}{\mathrm{d}r}(r^{13})$$

The derivative of ax^{n} is nax^{n-1}.

$$13r^{13-1}$$

Subtract 1 from 13.

$$13r^{12}$$