Solve 2^6x^5/2x^7

$$\frac { 2 ^ { 6 } x ^ { 5 } } { 2 x ^ { 7 } }$$

Evaluate

$$\frac{32}{x^{2}}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{2^{6}x^{5}}{2^{1}x^{7}}$$

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

$$2^{6-1}x^{5-7}$$

Subtract 1 from 6.

$$2^{5}x^{5-7}$$

Raise 2 to the power 5.

$$32x^{5-7}$$

Subtract 7 from 5.

$$32x^{-2}$$

Differentiate w.r.t. x

$$-\frac{64}{x^{3}}$$