Simplify ((2x^3)*(x^4)^2)/(8x^11)

$\frac{(2 x^{3}) \cdot {(x^{4})}^{2}}{8 x^{11}}$

Step 1

Cancel the common factor of $2$ and $8$ .

Factor $2$ out of $(2 x^{3}) \cdot {(x^{4})}^{2}$ .

$\frac{2 ((x^{3}) \cdot {(x^{4})}^{2})}{8 x^{11}}$

Cancel the common factors.

Factor $2$ out of $8 x^{11}$ .

$\frac{2 ((x^{3}) \cdot {(x^{4})}^{2})}{2 (4 x^{11})}$

Cancel the common factor.

$\frac{2 ((x^{3}) \cdot {(x^{4})}^{2})}{2 (4 x^{11})}$

Rewrite the expression.

$\frac{(x^{3}) \cdot {(x^{4})}^{2}}{4 x^{11}}$

Step 2

Cancel the common factor of $x^{3}$ and $x^{11}$ .

Factor $x^{3}$ out of $(x^{3}) \cdot {(x^{4})}^{2}$ .

$\frac{(x^{3}) ({(x^{4})}^{2})}{4 x^{11}}$

Cancel the common factors.

Factor $x^{3}$ out of $4 x^{11}$ .

$\frac{(x^{3}) ({(x^{4})}^{2})}{x^{3} (4 x^{8})}$

Cancel the common factor.

$\frac{x^{3} {(x^{4})}^{2}}{x^{3} (4 x^{8})}$

Rewrite the expression.

$\frac{{(x^{4})}^{2}}{4 x^{8}}$

Step 3

Multiply the exponents in ${(x^{4})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{x^{4 \cdot 2}}{4 x^{8}}$

Multiply $4$ by $2$ .

$\frac{x^{8}}{4 x^{8}}$

Step 4

Cancel the common factor of $x^{8}$ .

Cancel the common factor.

$\frac{x^{8}}{4 x^{8}}$

Rewrite the expression.

$\frac{1}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$