Solve y^11/y^3

$$\frac{ { y }^{ 11 } }{ { y }^{ 3 } }$$

Evaluate

$$y^{8}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{y^{11}}{y^{3}}$$

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

$$y^{11-3}$$

Subtract 3 from 11.

$$y^{8}$$

Differentiate w.r.t. y

$$8y^{7}$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{1}y^{11-3})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{8})$$

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}.

$$8y^{8-1}$$

Do the arithmetic.

$$8y^{7}$$