Simplify the Radical Expression 5^(1/2)*5^(1/2)

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

Step 1

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

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

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

Combine the numerators over the common denominator.

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

Add $1$ and $1$ .

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

Divide $2$ by $2$ .

$5^{1}$

Step 2

Simplify $5^{1}$ .

$5$