Solve left(y^2right)^2^

$${ \left( { y }^{ 2 } \right) }^{ { 2 }^{ } }$$

Evaluate

$$y^{4}$$

Steps for Raising Power to Another Power

Calculate 2 to the power of 1 and get 2.

$$\left(y^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents.

$$y^{2\times 2}$$

Multiply 2 times 2.

$$y^{4}$$

Differentiate w.r.t. y

$$4y^{3}$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 1 and get 2.

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

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

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

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

$$4y^{4-1}$$

Subtract 1 from 4.

$$4y^{3}$$