Solve 1/1a-8/1:1/3=

$$\frac { 1 } { 1 } a - \frac { 8 } { 1 } : \frac { 1 } { 3 } =$$

Evaluate

$$a-24$$

Solution Steps

Divide 1 by 1 to get 1.

$$1a-\frac{\frac{8}{1}}{\frac{1}{3}}$$

Divide \frac{8}{1} by \frac{1}{3} by multiplying \frac{8}{1} by the reciprocal of \frac{1}{3}.

$$1a-8\times 3$$

Multiply 8 and 3 to get 24.

$$1a-24$$

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

$$a-24$$

Differentiate w.r.t. a

$$1$$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$a^{1-1}$$

Subtract 1 from 1.

$$a^{0}$$

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

$$1$$