Solve (2nm^-1)^-1

$$( 2 n m ^ { - 1 } ) ^ { - 1 }$$

Evaluate

$$\frac{m}{2n}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\frac{1}{2n^{1}\times \frac{1}{m}}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\frac{1}{2}\times \frac{1}{n^{1}}\times \frac{1}{\frac{1}{m}}$$

To raise a power to another power, multiply the exponents.

$$\frac{1}{2}\times \frac{1}{n}m^{-\left(-1\right)}$$

Multiply -1 times -1.

$$\frac{1}{2}\times \frac{1}{n}m$$

Differentiate w.r.t. n

$$-\frac{m}{2n^{2}}$$