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Popular >

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

Solution

simplify

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

Solution

64 e^{- 6 x}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

(e^{- 2 x})^{3} : e^{- 6 x}

= 4^{3} e^{- 6 x}

4^{3} = 64

= 64 e^{- 6 x}

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Frequently Asked Questions (FAQ)

What is (4e^{-2x})^3 ?
The solution to (4e^{-2x})^3 is 64e^{-6x}