Solve y*y^3*y^2

$$y \cdot y ^ { 3 } \cdot y ^ { 2 }$$

Evaluate

$$y^{6}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$y^{1}y^{3}y^{2}$$

Use the Multiplication Rule for Exponents.

$$y^{1+3+2}$$

Add the exponents 1 and 3.

$$y^{4+2}$$

Add the exponents 4 and 2.

$$y^{6}$$

Differentiate w.r.t. y

$$6y^{5}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{4}y^{2})$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{6})$$

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

$$6y^{6-1}$$

Subtract 1 from 6.

$$6y^{5}$$