What is (1*10^{-12})*(e^{x/(2*(90*10^{-3))}}-1) ?

The solution to (1*10^{-12})*(e^{x/(2*(90*10^{-3))}}-1) is 1/(10^{12)}(e^{(50x)/9}-1)

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simplify (110^{-12})(e^{x/(2(9010^{-3))}}-1)

simplify

(1 \cdot 1 0^{- 12}) \cdot (e^{\frac{x}{2 \cdot ( 90 \cdot 1 0 ^{- 3} )}} - 1)

\frac{1}{1 0 ^{12}} (e^{\frac{50 x}{9}} - 1)

Solution steps

(1 \cdot 1 0^{- 12}) (e^{\frac{x}{2 ( 90 \cdot 1 0 ^{- 3} )}} - 1)

Apply exponent rule:

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

= 1 \cdot \frac{1}{1 0 ^{12}} (e^{\frac{x}{1 0 ^{- 3} \cdot 2 \cdot 90}} - 1)

\frac{x}{2 \cdot 90 \cdot 1 0 ^{- 3}} = \frac{50 x}{9}

= 1 \cdot \frac{1}{1 0 ^{12}} (e^{\frac{50 x}{9}} - 1)

Multiply:

1 \cdot \frac{1}{1 0 ^{12}} = \frac{1}{1 0 ^{12}}

= \frac{1}{1 0 ^{12}} (e^{\frac{50 x}{9}} - 1)

8.6 \cdot 1 0^{- 3}

e^{- \frac{5}{7}}

2 π (50) (500 \cdot 1 0^{- 3})

(1.08 \cdot 1 0^{- 3}) (9.3 \cdot 1 0^{- 3})

What is (1*10^{-12})*(e^{x/(2*(90*10^{-3))}}-1) ?
The solution to (1*10^{-12})*(e^{x/(2*(90*10^{-3))}}-1) is 1/(10^{12)}(e^{(50x)/9}-1)