What is 1/((6)(1/3)^6)*(12^{(6-1)})*e^{-36} ?

The solution to 1/((6)(1/3)^6)*(12^{(6-1)})*e^{-36} is (30233088)/(e^{36)}

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simplify 1/((6)(1/3)^6)(12^{(6-1)})e^{-36}

simplify

\frac{1}{( 6 ) ( \frac{1}{3} ) ^{6}} \cdot (1 2^{(6 - 1)}) \cdot e^{- 36}

\frac{30233088}{e ^{36}}

Decimal Notation

7.01263 E - 9

Solution steps

\frac{1}{( 6 ) ( \frac{1}{3} ) ^{6}} (1 2^{(6 - 1)}) e^{- 36}

Apply exponent rule:

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

= 1 2^{6 - 1} \cdot \frac{1}{e ^{36}} \cdot \frac{1}{6 ( \frac{1}{3} ) ^{6}}

\frac{1}{6 ( \frac{1}{3} ) ^{6}} = \frac{243}{2}

= 1 2^{6 - 1} \cdot \frac{243}{2} \cdot \frac{1}{e ^{36}}

Subtract the numbers:

6 - 1 = 5

= 1 2^{5} \cdot \frac{243}{2} \cdot \frac{1}{e ^{36}}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{243 \cdot 1 \cdot 1 2 ^{5}}{2 e ^{36}}

Multiply the numbers:

243 \cdot 1 = 243

= \frac{1 2 ^{5} \cdot 243}{2 e ^{36}}

Factor

1 2^{5} : 2^{10} \cdot 3^{5}

= \frac{2 ^{10} \cdot 3 ^{5} \cdot 243}{2 e ^{36}}

Cancel the common factor:

2

= \frac{2 ^{9} \cdot 3 ^{5} \cdot 243}{e ^{36}}

2^{9} \cdot 3^{5} \cdot 243 = 30233088

= \frac{30233088}{e ^{36}}

3 x^{^{'}}

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25 e^{- 0.15 (3)}

What is 1/((6)(1/3)^6)*(12^{(6-1)})*e^{-36} ?
The solution to 1/((6)(1/3)^6)*(12^{(6-1)})*e^{-36} is (30233088)/(e^{36)}