Solve 1/16cm*frac{sqrt{1}}{8cm}

$$\frac { 1 } { 16 cm } \cdot \frac { \sqrt { 1 } } { 8 cm }$$

Evaluate

$$\frac{1}{128\left(cm\right)^{2}}$$

Solution Steps

Calculate the square root of 1 and get 1.

$$\frac{1}{16cm}\times \frac{1}{8cm}$$

Multiply \frac{1}{16cm} times \frac{1}{8cm} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{16cm\times 8cm}$$

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

$$\frac{1}{16c^{2}m\times 8m}$$

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

$$\frac{1}{16c^{2}m^{2}\times 8}$$

Multiply 16 and 8 to get 128.

$$\frac{1}{128c^{2}m^{2}}$$

Differentiate w.r.t. c

$$-\frac{1}{64m^{2}c^{3}}$$