Simplify (6^(1/2))^6

${(6^{\frac{1}{2}})}^{6}$

Multiply the exponents in ${(6^{\frac{1}{2}})}^{6}$ .

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

$6^{\frac{1}{2} \cdot 6}$

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$6^{\frac{1}{2} \cdot (2 (3))}$

Cancel the common factor.

$6^{\frac{1}{2} \cdot (2 \cdot 3)}$

Rewrite the expression.

$6^{3}$

Raise $6$ to the power of $3$ .

$216$