Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Factor $2$ out of $6$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

$6^{3}$

Step 2

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

$216$