Solve m(-1)^2:1^32=

$$m ( - 1 ) ^ { 2 } : 1 ^ { 32 } =$$

Evaluate

$$m$$

Solution Steps

Calculate -1 to the power of 2 and get 1.

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

Calculate 1 to the power of 32 and get 1.

$$\frac{m\times 1}{1}$$

Cancel out 1 and 1.

$$m$$

Differentiate w.r.t. m

$$1$$

Steps Using Definition of a Derivative

Calculate -1 to the power of 2 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{m\times 1}{1^{32}})$$

Calculate 1 to the power of 32 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{m\times 1}{1})$$

Cancel out 1 and 1.

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

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

$$m^{1-1}$$

Subtract 1 from 1.

$$m^{0}$$

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

$$1$$