Simplify (4s^8)/((3s)^3)

$\frac{4 s^{8}}{{(3 s)}^{3}}$

Step 1

Simplify the denominator.

Apply the product rule to $3 s$ .

$\frac{4 s^{8}}{3^{3} s^{3}}$

Raise $3$ to the power of $3$ .

$\frac{4 s^{8}}{27 s^{3}}$

$\frac{4 s^{8}}{27 s^{3}}$

Step 2

Cancel the common factor of $s^{8}$ and $s^{3}$ .

Factor $s^{3}$ out of $4 s^{8}$ .

$\frac{s^{3} (4 s^{5})}{27 s^{3}}$

Cancel the common factors.

Factor $s^{3}$ out of $27 s^{3}$ .

$\frac{s^{3} (4 s^{5})}{s^{3} \cdot 27}$

Cancel the common factor.

$\frac{s^{3} (4 s^{5})}{s^{3} \cdot 27}$

Rewrite the expression.

$\frac{4 s^{5}}{27}$

$\frac{4 s^{5}}{27}$

$\frac{4 s^{5}}{27}$

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