What is (10*10^{-15})(e^{(-0.7)/(0.026)}-1) ?

The solution to (10*10^{-15})(e^{(-0.7)/(0.026)}-1) is -10.0E-15

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simplify (10*10^{-15})(e^{(-0.7)/(0.026)}-1)

simplify

(10 \cdot 1 0^{- 15}) (e^{\frac{- 0.7}{0.026}} - 1)

- 10.0 E - 15

Solution steps

(10 \cdot 1 0^{- 15}) (e^{\frac{- 0.7}{0.026}} - 1)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

10 \cdot 1 0^{- 15} = 1 0^{1 - 15}

= 1 0^{1 - 15} (e^{\frac{- 0.7}{0.026}} - 1)

Subtract the numbers:

1 - 15 = - 14

= 1 0^{- 14} (e^{\frac{- 0.7}{0.026}} - 1)

Apply the fraction rule:

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

= 1 0^{- 14} (e^{- \frac{0.7}{0.026}} - 1)

Apply exponent rule:

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

1 0^{- 14} = \frac{1}{1 0 ^{14}}

= \frac{1}{1 0 ^{14}} (e^{- \frac{0.7}{0.026}} - 1)

Multiply fractions:

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

= \frac{1 \cdot ( e ^{- \frac{0.7}{0.026}} - 1 )}{1 0 ^{14}}

1 \cdot (e^{- \frac{0.7}{0.026}} - 1) = e^{- \frac{0.7}{0.026}} - 1

= \frac{e ^{- \frac{0.7}{0.026}} - 1}{1 0 ^{14}}

e^{- \frac{0.7}{0.026}} = 2.02981 E - 12

= \frac{2.02981 E - 12 - 1}{1 0 ^{14}}

Subtract the numbers:

2.02981 E - 12 - 1 = - 0.99999 \dots

= \frac{- 0.99999 \dots}{1 0 ^{14}}

Apply the fraction rule:

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

= - \frac{0.99999 \dots}{1 0 ^{14}}

Simplify

\frac{0.99999 \dots}{1 0 ^{14}} : 10.0 E - 15

= - 10.0 E - 15

4 e^{- 4 (3)}

e^{- 19700.7 \cdot 0.003}

\frac{( ln ( 0.01 ) ) ^{2}}{( ln ( 0.01 ) ) ^{2} + π ^{2}}

\frac{- 160}{10}

What is (10*10^{-15})(e^{(-0.7)/(0.026)}-1) ?
The solution to (10*10^{-15})(e^{(-0.7)/(0.026)}-1) is -10.0E-15