Solve a^4e^2*a^3ediva^2e

$$a ^ { 4 } e ^ { 2 } \times a ^ { 3 } e \div a ^ { 2 } e$$

Evaluate

$$e^{4}a^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.

$$\frac{a^{7}e^{2}e}{a^{2}}e$$

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

$$\frac{a^{7}e^{3}}{a^{2}}e$$

Cancel out a^{2} in both numerator and denominator.

$$e^{3}a^{5}e$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$e^{4}a^{5}$$

Differentiate w.r.t. a

$$5\left(ea\right)^{4}$$