Solve y^6/y^5

$$\frac { y ^ { 6 } } { y ^ { 5 } }$$

Evaluate

$$y$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{y^{6}}{y^{5}}$$

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

$$y^{6-5}$$

Subtract 5 from 6.

$$y^{1}$$

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

$$y$$

Differentiate w.r.t. y

$$1$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{1}y^{6-5})$$

Do the arithmetic.

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

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}.

$$y^{1-1}$$

Do the arithmetic.

$$y^{0}$$

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

$$1$$