Simplify (1/(x^3))^2

${(\frac{1}{x^{3}})}^{2}$

Step 1

Apply the product rule to $\frac{1}{x^{3}}$ .

$\frac{1^{2}}{{(x^{3})}^{2}}$

Step 2

One to any power is one.

$\frac{1}{{(x^{3})}^{2}}$

Step 3

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

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

$\frac{1}{x^{3 \cdot 2}}$

Multiply $3$ by $2$ .

$\frac{1}{x^{6}}$