What is 6*e^{-1}*(-(sqrt(2))/(16)) ?

The solution to 6*e^{-1}*(-(sqrt(2))/(16)) is -3/(4sqrt(2)e)

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simplify 6e^{-1}(-(sqrt(2))/(16))

simplify

6 \cdot e^{- 1} \cdot (- \frac{2}{16})

- \frac{3}{4 2 e}

Decimal Notation

- 0.19509 \dots

Solution steps

6 e^{- 1} (- \frac{2}{16})

Apply exponent rule:

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

= 6 \cdot \frac{1}{e} (- \frac{2}{16})

Remove parentheses:

(- a) = - a

= - 6 \cdot \frac{1}{e} \cdot \frac{2}{16}

\frac{2}{16} = \frac{1}{2 ^{3} 2}

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 \cdot 6 = 6

= - \frac{6}{2 ^{3} 2 e}

Cancel

\frac{6}{e 2 ^{3} 2} : \frac{3}{2 ^{2} 2 e}

= - \frac{3}{2 ^{2} 2 e}

2^{2} = 4

= - \frac{3}{4 2 e}

\frac{9. 8 ^{2}}{3.5432 9 ^{2}}

6.53 \cdot 1 0^{- 6} \cdot 2.7

\frac{2 ^{x + y + 22}}{5 ^{x + y + 22}}

c^{n} \cdot 2^{n}

What is 6*e^{-1}*(-(sqrt(2))/(16)) ?
The solution to 6*e^{-1}*(-(sqrt(2))/(16)) is -3/(4sqrt(2)e)