Solve (-3d^3e^2):3d^2e=

$$( - 3 d ^ { 3 } e ^ { 2 } ) : 3 d ^ { 2 } e =$$

Evaluate

$$-e^{3}d^{5}$$

Solution Steps

Cancel out 3 and 3.

$$-d^{3}e^{2}d^{2}e$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$-d^{5}e^{2}e$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-d^{5}e^{3}$$

Differentiate w.r.t. d

$$-5e^{3}d^{4}$$