Solve 2.16a^4*a^-2

$$2.16 a ^ { 4 } \cdot a ^ { - 2 }$$

Differentiate w.r.t. a

$$\frac{108a}{25}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(2.16a^{2})$$

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

$$2\times 2.16a^{2-1}$$

Multiply 2 times 2.16.

$$4.32a^{2-1}$$

Subtract 1 from 2.

$$4.32a^{1}$$

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

$$4.32a$$

Evaluate

$$\frac{54a^{2}}{25}$$

Solution Steps

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

$$2.16a^{2}$$