Solve bb^4/b^2

$$\frac { b b ^ { 4 } } { b ^ { 2 } }$$

Evaluate

$$b^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$\frac{b^{5}}{b^{2}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 5 to get 3.

$$b^{3}$$

Differentiate w.r.t. b

$$3b^{2}$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{b}{1}b^{4-2})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}b}(bb^{2})$$

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}.

$$2bb^{2-1}$$

Do the arithmetic.

$$2bb^{1}$$

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

$$2bb$$