Simplify (2x)(x^5)/(x^2)

$(2 x) \frac{x^{5}}{x^{2}}$

Step 1

Cancel the common factor of $x$ .

Factor $x$ out of $2 x$ .

$x \cdot 2 \frac{x^{5}}{x^{2}}$

Factor $x$ out of $x^{2}$ .

$x \cdot 2 \frac{x^{5}}{x \cdot x}$

Cancel the common factor.

$x \cdot 2 \frac{x^{5}}{x \cdot x}$

Rewrite the expression.

$2 \frac{x^{5}}{x}$

$2 \frac{x^{5}}{x}$

Step 2

Combine $2$ and $\frac{x^{5}}{x}$ .

$\frac{2 x^{5}}{x}$

Step 3

Cancel the common factor of $x^{5}$ and $x$ .

Factor $x$ out of $2 x^{5}$ .

$\frac{x (2 x^{4})}{x}$

Cancel the common factors.

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

$\frac{x (2 x^{4})}{x^{1}}$

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

$\frac{x (2 x^{4})}{x \cdot 1}$

Cancel the common factor.

$\frac{x (2 x^{4})}{x \cdot 1}$

Rewrite the expression.

$\frac{2 x^{4}}{1}$

Divide $2 x^{4}$ by $1$ .

$2 x^{4}$

$2 x^{4}$

$2 x^{4}$

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