Solve -3a^2*3a^4

$$- 3 a ^ { 2 } \cdot 3 a ^ { 4 }$$

Evaluate

$$-9a^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$-3a^{6}\times 3$$

Multiply -3 and 3 to get -9.

$$-9a^{6}$$

Differentiate w.r.t. a

$$-54a^{5}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-3a^{6}\times 3)$$

Multiply -3 and 3 to get -9.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-9a^{6})$$

The derivative of ax^{n} is nax^{n-1}.

$$6\left(-9\right)a^{6-1}$$

Multiply 6 times -9.

$$-54a^{6-1}$$

Subtract 1 from 6.

$$-54a^{5}$$