Solve 18m^2/2m

$$\frac { 18 m ^ { 2 } } { 2 m }$$

Evaluate

$$9m$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{18^{1}m^{2}}{2^{1}m^{1}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{18^{1}m^{2-1}}{2^{1}}$$

Subtract 1 from 2.

$$\frac{18^{1}m^{1}}{2^{1}}$$

Divide 18 by 2.

$$9m^{1}$$

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

$$9m$$

Differentiate w.r.t. m

$$9$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{18}{2}m^{2-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}m}(9m^{1})$$

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}.

$$9m^{1-1}$$

Do the arithmetic.

$$9m^{0}$$

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

$$9\times 1$$

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

$$9$$