What is (2^3*3^{-6})^{-3} ?

The solution to (2^3*3^{-6})^{-3} is 387420489/512

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simplify (2^3*3^{-6})^{-3}

simplify

(2^{3} \cdot 3^{- 6})^{- 3}

\frac{387420489}{512}

Decimal Notation

756680.64257 \dots

Solution steps

(2^{3} \cdot 3^{- 6})^{- 3}

Apply exponent rule:

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

(2^{3} \cdot 3^{- 6})^{- 3} = \frac{1}{( 2 ^{3} \cdot 3 ^{- 6} ) ^{3}}

= \frac{1}{( 2 ^{3} \cdot 3 ^{- 6} ) ^{3}}

(2^{3} \cdot 3^{- 6})^{3} = \frac{512}{387420489}

= \frac{1}{\frac{512}{387420489}}

Apply the fraction rule:

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

= \frac{387420489}{512}

40 e^{- 4}

e^{- l o g_{e} (x)}

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

0.04 \cdot 1 0^{- 3}

e^{- 1} \cdot e^{- 1}