What is 4*e^{-1}*(3sqrt(2))/(64) ?

The solution to 4*e^{-1}*(3sqrt(2))/(64) is 3/(8sqrt(2)e)

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simplify 4e^{-1}(3sqrt(2))/(64)

simplify

4 \cdot e^{- 1} \cdot \frac{3 2}{64}

\frac{3}{8 2 e}

Decimal Notation

0.09754 \dots

Solution steps

4 e^{- 1} \frac{3 2}{64}

Apply exponent rule:

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

= 4 \cdot \frac{1}{e} \cdot \frac{3 2}{64}

\frac{3 2}{64} = \frac{3}{2 ^{5} 2}

= 4 \cdot \frac{1}{e} \cdot \frac{3}{2 ^{5} 2}

Multiply fractions:

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

= \frac{1 \cdot 3 \cdot 4}{e 2 ^{5} 2}

Multiply the numbers:

1 \cdot 3 \cdot 4 = 12

= \frac{12}{2 ^{5} 2 e}

Factor

12 : 2^{2} \cdot 3

= \frac{2 ^{2} \cdot 3}{2 ^{5} 2 e}

Cancel

\frac{2 ^{2} \cdot 3}{e 2 ^{5} 2} : \frac{3}{2 ^{3} 2 e}

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

2^{3} = 8

= \frac{3}{8 2 e}

(7 b^{7}) (6 b) (9 b)

0.7870101 \cdot e^{- 1}

0.3 (e^{- 4})

(2.1 \cdot 1 0^{6}) (4 \cdot 1 0^{3})

20 \cdot e^{- 0.8 (5)}

What is 4*e^{-1}*(3sqrt(2))/(64) ?
The solution to 4*e^{-1}*(3sqrt(2))/(64) is 3/(8sqrt(2)e)