Algebra Examples

${(4 e^{- 2 x})}^{3}$

Step 1

Apply the product rule to $4 e^{- 2 x}$ .

$4^{3} {(e^{- 2 x})}^{3}$

Step 2

Raise $4$ to the power of $3$ .

$64 {(e^{- 2 x})}^{3}$

Step 3

Multiply the exponents in ${(e^{- 2 x})}^{3}$ .

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Step 3.1

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

$64 e^{- 2 x \cdot 3}$

Step 3.2

Multiply $3$ by $- 2$ .

$64 e^{- 6 x}$