Solve left(x^2right)^2^2

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

Evaluate

$$x^{8}$$

Steps for Raising Power to Another Power

Calculate 2 to the power of 2 and get 4.

$$\left(x^{2}\right)^{4}$$

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

$$x^{2\times 4}$$

Multiply 2 times 4.

$$x^{8}$$

Differentiate w.r.t. x

$$8x^{7}$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(x^{2}\right)^{4})$$

To raise a power to another power, multiply the exponents. Multiply 2 and 4 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{8})$$

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

$$8x^{8-1}$$

Subtract 1 from 8.

$$8x^{7}$$