Pre-Algebra Examples

${(\sqrt{13^{2} + 26})}^{2}$

Step 1

Simplify the expression.

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Step 1.1

Raise $13$ to the power of $2$ .

${\sqrt{169 + 26}}^{2}$

Step 1.2

Add $169$ and $26$ .

${\sqrt{195}}^{2}$

Step 2

Rewrite ${\sqrt{195}}^{2}$ as $195$ .

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Step 2.1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{195}$ as $195^{\frac{1}{2}}$ .

${(195^{\frac{1}{2}})}^{2}$

Step 2.2

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

$195^{\frac{1}{2} \cdot 2}$

Step 2.3

Combine $\frac{1}{2}$ and $2$ .

$195^{\frac{2}{2}}$

Step 2.4

Cancel the common factor of $2$ .

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Step 2.4.1

Cancel the common factor.

$195^{\frac{2}{2}}$

Step 2.4.2

Rewrite the expression.

$195^{1}$

Step 2.5

Evaluate the exponent.

$195$