Solve b^4divb^3

$$b ^ { 4 } \div b ^ { 3 }$$

Evaluate

$$b$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{b^{4}}{b^{3}}$$

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

$$b^{4-3}$$

Subtract 3 from 4.

$$b^{1}$$

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

$$b$$

Differentiate w.r.t. b

$$1$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{1}{1}b^{4-3})$$

Do the arithmetic.

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

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}.

$$b^{1-1}$$

Do the arithmetic.

$$b^{0}$$

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

$$1$$