Finite Math Examples

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

Step 1

Rewrite ${\sqrt{13}}^{2}$ as $13$ .

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Step 1.1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{13}$ as $13^{\frac{1}{2}}$ .

${(13^{\frac{1}{2}})}^{2} + 2 (v {(13)}^{2})$

Step 1.2

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

$13^{\frac{1}{2} \cdot 2} + 2 (v {(13)}^{2})$

Step 1.3

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

$13^{\frac{2}{2}} + 2 (v {(13)}^{2})$

Step 1.4

Cancel the common factor of $2$ .

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Step 1.4.1

Cancel the common factor.

$13^{\frac{2}{2}} + 2 (v {(13)}^{2})$

Step 1.4.2

Rewrite the expression.

$13^{1} + 2 (v {(13)}^{2})$

Step 1.5

Evaluate the exponent.

$13 + 2 (v {(13)}^{2})$

Step 2

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

$13 + 2 (v \cdot 169)$

Step 3

Move $169$ to the left of $v$ .

$13 + 2 (169 \cdot v)$

Step 4

Multiply $169$ by $2$ .

$13 + 338 v$