How to solve (x ^ 3) / (x ^ 2)

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 (x ^ 3) / (x ^ 2) | Equatix

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Question

$$x^{3}\div x^{2}$$

Evaluate

$x$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{x^{3}}{x^{2}}$$

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

$$x^{3-2}$$

Subtract $2$ from $3$.

$$x^{1}$$

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

$$x$$

Show Solution

Differentiate w.r.t. x

$1$

Solution Steps

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

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

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{1})$$

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 $nax^{n-1}$.

$$x^{1-1}$$