Solve 28y^2/35y

$$\frac { 28 y ^ { 2 } } { 35 y }$$

Evaluate

$$\frac{4y}{5}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{28^{1}y^{2}}{35^{1}y^{1}}$$

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

$$\frac{28^{1}y^{2-1}}{35^{1}}$$

Subtract 1 from 2.

$$\frac{28^{1}y^{1}}{35^{1}}$$

Reduce the fraction \frac{28}{35} to lowest terms by extracting and canceling out 7.

$$\frac{4}{5}y^{1}$$

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

$$\frac{4}{5}y$$

Differentiate w.r.t. y

$$\frac{4}{5} = 0.8$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{28}{35}y^{2-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{4}{5}y^{1})$$

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}.

$$\frac{4}{5}y^{1-1}$$

Do the arithmetic.

$$\frac{4}{5}y^{0}$$

For any term t except 0, t^{0}=1.

$$\frac{4}{5}\times 1$$

For any term t, t\times 1=t and 1t=t.

$$\frac{4}{5}$$