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

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

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simplify (2^3\times 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}

3 e^{- 4}

(4 a^{3} b) (3 a^{6} b^{4} c)

13 e^{- 0.015 (45)}

(2.35 \cdot 1 0^{- 7}) \cdot (3.7 \cdot 1 0^{12})

e^{(- l n (x))}

What is (2^3\times 3^{-6})^{-3} ?
The solution to (2^3\times 3^{-6})^{-3} is 387420489/512