Solve 9.46*10^20m.H

$$9.46 \times 10 ^ { 20 } m . H$$

Evaluate

$$946000000000000000000m$$

Solution Steps

Calculate 10 to the power of 20 and get 100000000000000000000.

$$9.46\times 100000000000000000000m$$

Multiply 9.46 and 100000000000000000000 to get 946000000000000000000.

$$946000000000000000000m$$

Differentiate w.r.t. m

$$946000000000000000000$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 20 and get 100000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}m}(9.46\times 100000000000000000000m)$$

Multiply 9.46 and 100000000000000000000 to get 946000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}m}(946000000000000000000m)$$

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

$$946000000000000000000m^{1-1}$$

Subtract 1 from 1.

$$946000000000000000000m^{0}$$

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

$$946000000000000000000\times 1$$

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

$$946000000000000000000$$