What is 1*10^{-12}(e^{(0.52)/(0.026)}-1) ?

The solution to 1*10^{-12}(e^{(0.52)/(0.026)}-1) is 0.00048…

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simplify 1*10^{-12}(e^{(0.52)/(0.026)}-1)

simplify

1 \cdot 1 0^{- 12} (e^{\frac{0.52}{0.026}} - 1)

0.00048 \dots

Solution steps

1 \cdot 1 0^{- 12} (e^{\frac{0.52}{0.026}} - 1)

Apply exponent rule:

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

= 1 \cdot \frac{1}{1 0 ^{12}} (e^{\frac{0.52}{0.026}} - 1)

Multiply fractions:

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

= 1 \cdot \frac{1 \cdot ( e ^{\frac{0.52}{0.026}} - 1 )}{1 0 ^{12}}

\frac{1 \cdot ( e ^{\frac{0.52}{0.026}} - 1 )}{1 0 ^{12}} = 0.00048 \dots

= 1 \cdot 0.00048 \dots

Multiply the numbers:

1 \cdot 0.00048 \dots = 0.00048 \dots

= 0.00048 \dots

2500 \cdot e^{0.025 - 0.02 5^{2}} \cdot e^{2 \cdot 0.02 5^{2}}

e^{- 125.33}

6.49 \cdot 1 0^{- 2}

e^{- a t} cos (w_{0} t) u (t)

What is 1*10^{-12}(e^{(0.52)/(0.026)}-1) ?
The solution to 1*10^{-12}(e^{(0.52)/(0.026)}-1) is 0.00048…