Solve -5a^2div-a

$$- 5 a ^ { 2 } \div - a$$

Evaluate

$$5a$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{\left(-5\right)^{1}a^{2}}{-a^{1}}$$

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

$$\frac{\left(-5\right)^{1}a^{2-1}}{-1}$$

Subtract 1 from 2.

$$\frac{\left(-5\right)^{1}a^{1}}{-1}$$

Divide -5 by -1.

$$5a^{1}$$

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

$$5a$$

Differentiate w.r.t. a

$$5$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(-\frac{5}{-1}\right)a^{2-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}a}(5a^{1})$$

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}.

$$5a^{1-1}$$

Do the arithmetic.

$$5a^{0}$$

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

$$5\times 1$$

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

$$5$$