Solve w^7/w^4

$$\frac { w ^ { 7 } } { w ^ { 4 } }$$

Evaluate

$$w^{3}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{w^{7}}{w^{4}}$$

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

$$w^{7-4}$$

Subtract 4 from 7.

$$w^{3}$$

Differentiate w.r.t. w

$$3w^{2}$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{1}{1}w^{7-4})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}w}(w^{3})$$

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}.

$$3w^{3-1}$$

Do the arithmetic.

$$3w^{2}$$