Solve (7/8)^-4*M

$$( \frac { 7 } { 8 } ) ^ { - 4 } \cdot M$$

Differentiate w.r.t. M

$$\frac{4096}{2401} = 1\frac{1695}{2401} = 1.7059558517284465$$

Steps Using Definition of a Derivative

Calculate \frac{7}{8} to the power of -4 and get \frac{4096}{2401}.

$$\frac{\mathrm{d}}{\mathrm{d}M}(\frac{4096}{2401}M)$$

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

$$\frac{4096}{2401}M^{1-1}$$

Subtract 1 from 1.

$$\frac{4096}{2401}M^{0}$$

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

$$\frac{4096}{2401}\times 1$$

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

$$\frac{4096}{2401}$$

Evaluate

$$\frac{4096M}{2401}$$

Solution Steps

Calculate \frac{7}{8} to the power of -4 and get \frac{4096}{2401}.

$$\frac{4096}{2401}M$$