Algebra Examples

$5^{\frac{1}{2}} \cdot 5^{\frac{1}{2}}$

Step 1

Multiply $5^{\frac{1}{2}}$ by $5^{\frac{1}{2}}$ by adding the exponents.

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Step 1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$5^{\frac{1}{2} + \frac{1}{2}}$

Step 1.2

Combine the numerators over the common denominator.

$5^{\frac{1 + 1}{2}}$

Step 1.3

Add $1$ and $1$ .

$5^{\frac{2}{2}}$

Step 1.4

Divide $2$ by $2$ .

$5^{1}$

Step 2

Simplify $5^{1}$ .

$5$