Solve 0.36m^2/0.600m

$$\frac{ 0.36 { m }^{ 2 } }{ 0.600m }$$

Evaluate

$$\frac{3m}{5}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{0.36^{1}m^{2}}{0.6^{1}m^{1}}$$

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

$$\frac{0.36^{1}m^{2-1}}{0.6^{1}}$$

Subtract 1 from 2.

$$\frac{0.36^{1}m^{1}}{0.6^{1}}$$

Divide 0.36 by 0.6 by multiplying 0.36 by the reciprocal of 0.6.

$$0.6m^{1}$$

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

$$0.6m$$

Differentiate w.r.t. m

$$0.6$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{0.36}{0.6}m^{2-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}m}(0.6m^{1})$$

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}.

$$0.6m^{1-1}$$

Do the arithmetic.

$$0.6m^{0}$$

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

$$0.6\times 1$$

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

$$0.6$$