Basic Math Examples

$2 (a - 2) {(a - 2)}^{\frac{1}{2}}$

Step 1

Move ${(a - 2)}^{\frac{1}{2}}$ .

$2 ({(a - 2)}^{\frac{1}{2}} (a - 2))$

Step 2

Multiply ${(a - 2)}^{\frac{1}{2}}$ by $a - 2$ .

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Step 2.1

Raise $a - 2$ to the power of $1$ .

$2 ({(a - 2)}^{\frac{1}{2}} {(a - 2)}^{1})$

Step 2.2

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

$2 {(a - 2)}^{\frac{1}{2} + 1}$

Step 3

Write $1$ as a fraction with a common denominator.

$2 {(a - 2)}^{\frac{1}{2} + \frac{2}{2}}$

Step 4

Combine the numerators over the common denominator.

$2 {(a - 2)}^{\frac{1 + 2}{2}}$

Step 5

Add $1$ and $2$ .

$2 {(a - 2)}^{\frac{3}{2}}$