Solve g^9*g^5*g^0

$$g ^ { 9 } \cdot g ^ { 5 } \cdot g ^ { 0 }$$

Evaluate

$$g^{14}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$g^{9}g^{5}g^{0}$$

Use the Multiplication Rule for Exponents.

$$g^{9+5}$$

Add the exponents 9 and 5.

$$g^{14}$$

Differentiate w.r.t. g

$$14g^{13}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 9 and 5 to get 14.

$$\frac{\mathrm{d}}{\mathrm{d}g}(g^{14}g^{0})$$

To multiply powers of the same base, add their exponents. Add 14 and 0 to get 14.

$$\frac{\mathrm{d}}{\mathrm{d}g}(g^{14})$$

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

$$14g^{14-1}$$

Subtract 1 from 14.

$$14g^{13}$$