Algebra Examples

${(36^{\frac{1}{2}})}^{2}$

Step 1

Multiply the exponents in ${(36^{\frac{1}{2}})}^{2}$ .

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Step 1.1

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

$36^{\frac{1}{2} \cdot 2}$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Cancel the common factor.

$36^{\frac{1}{2} \cdot 2}$

Step 1.2.2

Rewrite the expression.

$36^{1}$

Step 2

Evaluate the exponent.

$36$