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

The solution to 10^{-10}(e^{(0.7)/(0.026)}-1) is 49.26559…

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

simplify

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

49.26559 \dots

Solution steps

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

Apply exponent rule:

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

= \frac{1}{1 0 ^{10}} (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 ^{10}}

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 ^{10}}

e^{\frac{0.7}{0.026}} = 492655962757.3873

= \frac{492655962757.3873 - 1}{1 0 ^{10}}

Subtract the numbers:

492655962757.3873 - 1 = 492655962756.3873

= \frac{492655962756.3873}{1 0 ^{10}}

Convert element to a decimal form

1 0^{10} = 10000000000

= \frac{492655962756.3873}{10000000000}

Divide the numbers:

\frac{492655962756.3873}{10000000000} = 49.26559 \dots

= 49.26559 \dots

(27 e^{- 6 j}) (\frac{1}{16 e ^{- 6 j}})

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\frac{0.5 3 ^{2}}{0.8 8 ^{2}}

e^{- 1.7 x} \cdot - \frac{( 69 e ^{- \frac{69 x}{5}} )}{5}

What is 10^{-10}(e^{(0.7)/(0.026)}-1) ?
The solution to 10^{-10}(e^{(0.7)/(0.026)}-1) is 49.26559…