Algebra Examples

${(e^{- \frac{x}{2}})}^{2}$

Step 1

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

$e^{- \frac{x}{2} \cdot 2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Move the leading negative in $- \frac{x}{2}$ into the numerator.

$e^{\frac{- x}{2} \cdot 2}$

Step 2.2

Cancel the common factor.

$e^{\frac{- x}{2} \cdot 2}$

Step 2.3

Rewrite the expression.

$e^{- x}$