Simplify (5x^4)/(3(x^4)^2)

$\frac{5 x^{4}}{3 {(x^{4})}^{2}}$

Step 1

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

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

$\frac{5 x^{4}}{3 x^{4 \cdot 2}}$

Multiply $4$ by $2$ .

$\frac{5 x^{4}}{3 x^{8}}$

Step 2

Cancel the common factor of $x^{4}$ and $x^{8}$ .

Factor $x^{4}$ out of $5 x^{4}$ .

$\frac{x^{4} \cdot 5}{3 x^{8}}$

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{5}{3 x^{4}}$