Solve 16c^3*c^-2

$$16 c ^ { 3 } \times c ^ { - 2 }$$

Evaluate

$$16c$$

Solution Steps

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

$$16c^{1}$$

Calculate c to the power of 1 and get c.

$$16c$$

Differentiate w.r.t. c

$$16$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}c}(16c^{1})$$

Calculate c to the power of 1 and get c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(16c)$$

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

$$16c^{1-1}$$

Subtract 1 from 1.

$$16c^{0}$$

For any term t except 0, t^{0}=1.

$$16\times 1$$

For any term t, t\times 1=t and 1t=t.

$$16$$