Solve 2*z/2^-8

$$\frac { 2 \cdot z } { 2 ^ { - 8 } }$$

Evaluate

$$512z$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$2^{9}z$$

Calculate 2 to the power of 9 and get 512.

$$512z$$

Differentiate w.r.t. z

$$512$$

Steps Using Definition of a Derivative

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}z}(2^{9}z)$$

Calculate 2 to the power of 9 and get 512.

$$\frac{\mathrm{d}}{\mathrm{d}z}(512z)$$

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

$$512z^{1-1}$$

Subtract 1 from 1.

$$512z^{0}$$

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

$$512\times 1$$

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

$$512$$