Algebra Examples

x^{\frac{1}{2}} \cdot x^{\frac{1}{2}}

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

Step 1

Multiply

$x^{\frac{1}{2}}$ by

$x^{\frac{1}{2}}$ 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.

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

Step 1.2

Combine the numerators over the common denominator.

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

Step 1.3

Add

$1$ and

$1$ .

$x^{\frac{2}{2}}$

Step 1.4

Divide

$2$ by

$2$ .

$x^{1}$

Step 2

Simplify

$x^{1}$ .

$x$