What is 9x10^{-6}(1-e^{(-5)/(0.01)}) ?

The solution to 9x10^{-6}(1-e^{(-5)/(0.01)}) is 0.000009x

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simplify 9x10^{-6}(1-e^{(-5)/(0.01)})

simplify

9 x 1 0^{- 6} (1 - e^{\frac{- 5}{0.01}})

0.000009 x

Solution steps

9 x \cdot 1 0^{- 6} (1 - e^{\frac{- 5}{0.01}})

Apply exponent rule:

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

= 9 \cdot \frac{1}{1 0 ^{6}} (- e^{\frac{- 5}{0.01}} + 1) x

Apply the fraction rule:

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

= 9 \cdot \frac{1}{1 0 ^{6}} (- e^{- \frac{5}{0.01}} + 1) x

Multiply fractions:

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

= \frac{1 \cdot 9 x ( 1 - e ^{- \frac{5}{0.01}} )}{1 0 ^{6}}

Multiply the numbers:

1 \cdot 9 = 9

= \frac{9 ( - e ^{- \frac{5}{0.01}} + 1 ) x}{1 0 ^{6}}

e^{- \frac{5}{0.01}} = 7.12458 E - 218

= \frac{9 ( 1 - 7.12458 E - 218 ) x}{1 0 ^{6}}

9 x (1 - 7.12458 E - 218) = 9 x

= \frac{9 x}{1 0 ^{6}}

1 0^{6} = 1000000

= \frac{9 x}{1000000}

Convert element to a decimal form

\frac{9}{1000000} = 0.000009

= 0.000009 x

1.55 \cdot 1 0^{- 5}

(5 x^{3 n + 1} y^{4 n + 2}) (3 x^{6 n - 2} y^{3 n + 4})

9.35 \cdot 1 0^{- 3}

5 e^{- 4 ∣ t ∣}

e^{- \frac{21}{10}}

What is 9x10^{-6}(1-e^{(-5)/(0.01)}) ?
The solution to 9x10^{-6}(1-e^{(-5)/(0.01)}) is 0.000009x