Solve k^5/k^3

$$\frac { k ^ { 5 } } { k ^ { 3 } }$$

Evaluate

$$k^{2}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{k^{5}}{k^{3}}$$

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

$$k^{5-3}$$

Subtract 3 from 5.

$$k^{2}$$

Differentiate w.r.t. k

$$2k$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{1}{1}k^{5-3})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}k}(k^{2})$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$2k^{2-1}$$

Do the arithmetic.

$$2k^{1}$$

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

$$2k$$