What is (8(0.36))/(20(1-7e^{-6))} ?

The solution to (8(0.36))/(20(1-7e^{-6))} is 0.14654…

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simplify (8(0.36))/(20(1-7e^{-6))}

simplify

\frac{8 ( 0.36 )}{20 ( 1 - 7 e ^{- 6} )}

0.14654 \dots

Solution steps

\frac{8 ( 0.36 )}{20 ( 1 - 7 e ^{- 6} )}

Remove parentheses:

(a) = a

= \frac{8 \cdot 0.36}{20 ( 1 - 7 e ^{- 6} )}

Multiply the numbers:

8 \cdot 0.36 = 2.88

= \frac{2.88}{20 ( - 7 e ^{- 6} + 1 )}

7 e^{- 6} = \frac{7}{e ^{6}}

= \frac{2.88}{20 ( - \frac{7}{e ^{6}} + 1 )}

Join

1 - \frac{7}{e ^{6}} : \frac{e ^{6} - 7}{e ^{6}}

= \frac{2.88}{20 \cdot \frac{e ^{6} - 7}{e ^{6}}}

Convert element to a decimal form

e^{6} = 403.42879 \dots

= \frac{2.88}{20 \cdot \frac{403.42879 \dots - 7}{403.42879 \dots}}

Divide the numbers:

\frac{2.88}{20} = 0.144

= \frac{0.144}{\frac{403.42879 \dots - 7}{403.42879 \dots}}

Apply the fraction rule:

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

= \frac{0.144 \cdot 403.42879 \dots}{403.42879 \dots - 7}

Multiply the numbers:

0.144 \cdot 403.42879 \dots = 58.09374 \dots

= \frac{58.09374 \dots}{403.42879 \dots - 7}

Subtract the numbers:

403.42879 \dots - 7 = 396.42879 \dots

= \frac{58.09374 \dots}{396.42879 \dots}

Divide the numbers:

\frac{58.09374 \dots}{396.42879 \dots} = 0.14654 \dots

= 0.14654 \dots

16 x^{2} + 48 x + 37 = 0

x + 5 < - 4

x^{2} + x - 72 = 0

10000 \cdot \frac{1}{( 1 + 0.12 ) ^{3}}

2 = \frac{1}{6} (10 x + 6)

What is (8(0.36))/(20(1-7e^{-6))} ?
The solution to (8(0.36))/(20(1-7e^{-6))} is 0.14654…