What is ((8e^{-10})/(e^4e^3))^{-3} ?

The solution to ((8e^{-10})/(e^4e^3))^{-3} is (e^{51})/(512)

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simplify ((8e^{-10})/(e^4e^3))^{-3}

simplify

(\frac{8 e ^{- 10}}{e ^{4} e ^{3}})^{- 3}

\frac{e ^{51}}{512}

Decimal Notation

2.75263 E 19

Solution steps

(\frac{8 e ^{- 10}}{e ^{4} e ^{3}})^{- 3}

Apply exponent rule:

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

= \frac{1}{( \frac{8 e ^{- 10}}{e ^{4} e ^{3}} ) ^{3}}

(\frac{8 e ^{- 10}}{e ^{4} e ^{3}})^{3} = (\frac{8 e ^{- 10}}{e ^{7}})^{3}

= \frac{1}{( \frac{8 e ^{- 10}}{e ^{7}} ) ^{3}}

(\frac{8 e ^{- 10}}{e ^{7}})^{3} = \frac{8 ^{3}}{e ^{51}}

= \frac{1}{\frac{8 ^{3}}{e ^{51}}}

Apply the fraction rule:

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

= \frac{e ^{51}}{8 ^{3}}

8^{3} = 512

= \frac{e ^{51}}{512}

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What is ((8e^{-10})/(e^4e^3))^{-3} ?
The solution to ((8e^{-10})/(e^4e^3))^{-3} is (e^{51})/(512)