Solve 0,135mm*1000m=

$$0,135 mm \cdot 1000 m =$$

Evaluate

$$135m^{3}$$

Solution Steps

Multiply m and m to get m^{2}.

$$0,135m^{2}\times 1000m$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$0,135m^{3}\times 1000$$

Multiply 0,135 and 1000 to get 135.

$$135m^{3}$$

Differentiate w.r.t. m

$$405m^{2}$$

Steps Using Definition of a Derivative

Multiply m and m to get m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(0,135m^{2}\times 1000m)$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}m}(0,135m^{3}\times 1000)$$

Multiply 0,135 and 1000 to get 135.

$$\frac{\mathrm{d}}{\mathrm{d}m}(135m^{3})$$

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

$$3\times 135m^{3-1}$$

Multiply 3 times 135.

$$405m^{3-1}$$

Subtract 1 from 3.

$$405m^{2}$$