Write the Fraction in Simplest Form (3(x^2)^3)/(3x^3)

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

Step 1

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

Multiply the exponents in ${(x^{2})}^{3}$ .

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

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

Multiply $2$ by $3$ .

$\frac{x^{6}}{x^{3}}$

Step 3

Cancel the common factor of $x^{6}$ and $x^{3}$ .

Factor $x^{3}$ out of $x^{6}$ .

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

Cancel the common factors.

Multiply by $1$ .

$\frac{x^{3} x^{3}}{x^{3} \cdot 1}$

Cancel the common factor.

$\frac{x^{3} x^{3}}{x^{3} \cdot 1}$

Rewrite the expression.

$\frac{x^{3}}{1}$

Divide $x^{3}$ by $1$ .

$x^{3}$