Solve m^6divm^4

$${ m }^{ 6 } \div { m }^{ 4 }$$

Evaluate

$$m^{2}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{m^{6}}{m^{4}}$$

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

$$m^{6-4}$$

Subtract 4 from 6.

$$m^{2}$$

Differentiate w.r.t. m

$$2m$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{1}{1}m^{6-4})$$

Do the arithmetic.

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

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}.

$$2m^{2-1}$$

Do the arithmetic.

$$2m^{1}$$

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

$$2m$$