Solve 16m^3p^2/8m^10p

$$\frac { 16 m ^ { 3 } p ^ { 2 } } { 8 m ^ { 10 } p }$$

Evaluate

$$\frac{2p}{m^{7}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{16^{1}m^{3}p^{2}}{8^{1}m^{10}p^{1}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{16^{1}}{8^{1}}m^{3-10}p^{2-1}$$

Subtract 10 from 3.

$$\frac{16^{1}}{8^{1}}m^{-7}p^{2-1}$$

Subtract 1 from 2.

$$\frac{16^{1}}{8^{1}}\times \frac{1}{m^{7}}p^{1}$$

Divide 16 by 8.

$$2\times \frac{1}{m^{7}}p$$

Differentiate w.r.t. p

$$\frac{2}{m^{7}}$$