How to solve (a ^ 6) / (a ^ 4)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (a ^ 6) / (a ^ 4) | Equatix

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Question

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

Evaluate

$a^{2}$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

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

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

$$a^{6-4}$$

Subtract $4$ from $6$.

$$a^{2}$$

Show Solution

Differentiate w.r.t. a

$2a$

Solution Steps

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

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

Do the arithmetic.

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

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 $nax^{n-1}$.

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