Solve 216a^4*a^-2

$$216 a ^ { 4 } \cdot a ^ { - 2 }$$

Differentiate w.r.t. a

$$432a$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(216a^{2})$$

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

$$2\times 216a^{2-1}$$

Multiply 2 times 216.

$$432a^{2-1}$$

Subtract 1 from 2.

$$432a^{1}$$

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

$$432a$$

Evaluate

$$216a^{2}$$

Solution Steps

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

$$216a^{2}$$