Solve W^8divW^2

$$W ^ { 8 } \div W ^ { 2 }$$

Evaluate

$$W^{6}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{W^{8}}{W^{2}}$$

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

$$W^{8-2}$$

Subtract 2 from 8.

$$W^{6}$$

Differentiate w.r.t. W

$$6W^{5}$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}W}(\frac{1}{1}W^{8-2})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}W}(W^{6})$$

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}.

$$6W^{6-1}$$

Do the arithmetic.

$$6W^{5}$$