Solve 2^-5*z

$$2 ^ { - 5 } \cdot z$$

Differentiate w.r.t. z

$$\frac{1}{32} = 0.03125$$

Steps Using Definition of a Derivative

Calculate 2 to the power of -5 and get \frac{1}{32}.

$$\frac{\mathrm{d}}{\mathrm{d}z}(\frac{1}{32}z)$$

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

$$\frac{1}{32}z^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{32}z^{0}$$

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

$$\frac{1}{32}\times 1$$

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

$$\frac{1}{32}$$

Evaluate

$$\frac{z}{32}$$

Solution Steps

Calculate 2 to the power of -5 and get \frac{1}{32}.

$$\frac{1}{32}z$$