Simplify (7/(2x))÷(7/(2x^3))

$\frac{7}{2 x} \div \frac{7}{2 x^{3}}$

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{2 x} \cdot \frac{2 x^{3}}{7}$

Combine.

$\frac{7 (2 x^{3})}{2 x \cdot 7}$

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 (2 x^{3})}{2 x \cdot 7}$

Rewrite the expression.

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

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Cancel the common factor of $x^{3}$ and $x$ .

Factor $x$ out of $x^{3}$ .

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

Cancel the common factors.

Raise $x$ to the power of $1$ .

$\frac{x \cdot x^{2}}{x^{1}}$

Factor $x$ out of $x^{1}$ .

$\frac{x \cdot x^{2}}{x \cdot 1}$

Cancel the common factor.

$\frac{x \cdot x^{2}}{x \cdot 1}$

Rewrite the expression.

$\frac{x^{2}}{1}$

Divide $x^{2}$ by $1$ .

$x^{2}$

$x^{2}$

$x^{2}$

Related Questions