Simplify (u^6)/((u^3)^2)

$\frac{u^{6}}{{(u^{3})}^{2}}$

Step 1

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

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

$\frac{u^{6}}{u^{3 \cdot 2}}$

Multiply $3$ by $2$ .

$\frac{u^{6}}{u^{6}}$

Step 2

Cancel the common factor of $u^{6}$ .

Cancel the common factor.

$\frac{u^{6}}{u^{6}}$

Rewrite the expression.

$1$