Solve (6a^2)div(3a)=

$$( 6 a ^ { 2 } ) \div ( 3 a ) =$$

Evaluate

$$2a$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{6^{1}a^{2}}{3^{1}a^{1}}$$

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

$$\frac{6^{1}a^{2-1}}{3^{1}}$$

Subtract 1 from 2.

$$\frac{6^{1}a^{1}}{3^{1}}$$

Divide 6 by 3.

$$2a^{1}$$

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

$$2a$$

Differentiate w.r.t. a

$$2$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{6}{3}a^{2-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}a}(2a^{1})$$

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}.

$$2a^{1-1}$$

Do the arithmetic.

$$2a^{0}$$

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

$$2\times 1$$

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

$$2$$