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Popular >

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

Solution

simplify

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

Solution

\frac{e ^{6}}{64}

+1

Decimal Notation

6.30357 \dots

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{( 4 e ^{- 2} ) ^{3}}

(4 e^{- 2})^{3} = \frac{4 ^{3}}{e ^{6}}

= \frac{1}{\frac{4 ^{3}}{e ^{6}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{e ^{6}}{4 ^{3}}

4^{3} = 64

= \frac{e ^{6}}{64}

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Frequently Asked Questions (FAQ)

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