Solve E(3^2)^4

$$E ( 3 ^ { 2 } ) ^ { 4 }$$

Evaluate

$$6561E$$

Solution Steps

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

$$E\times 3^{8}$$

Calculate 3 to the power of 8 and get 6561.

$$E\times 6561$$

Differentiate w.r.t. E

$$6561$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}E}(E\times 3^{8})$$

Calculate 3 to the power of 8 and get 6561.

$$\frac{\mathrm{d}}{\mathrm{d}E}(E\times 6561)$$

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

$$6561E^{1-1}$$

Subtract 1 from 1.

$$6561E^{0}$$

For any term t except 0, t^{0}=1.

$$6561\times 1$$

For any term t, t\times 1=t and 1t=t.

$$6561$$