Basic Math Examples

${(\sqrt{7})}^{2} + 14^{2}$

Step 1

Simplify each term.

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Step 1.1

Rewrite ${\sqrt{7}}^{2}$ as $7$ .

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Step 1.1.1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{7}$ as $7^{\frac{1}{2}}$ .

${(7^{\frac{1}{2}})}^{2} + 14^{2}$

Step 1.1.2

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

$7^{\frac{1}{2} \cdot 2} + 14^{2}$

Step 1.1.3

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

$7^{\frac{2}{2}} + 14^{2}$

Step 1.1.4

Cancel the common factor of $2$ .

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Step 1.1.4.1

Cancel the common factor.

$7^{\frac{2}{2}} + 14^{2}$

Step 1.1.4.2

Rewrite the expression.

$7^{1} + 14^{2}$

Step 1.1.5

Evaluate the exponent.

$7 + 14^{2}$

Step 1.2

Raise $14$ to the power of $2$ .

$7 + 196$

Step 2

Add $7$ and $196$ .

$203$