What is 2(993000)(9.7*10^{-9})ln(1+2/10) ?

The solution to 2(993000)(9.7*10^{-9})ln(1+2/10) is 0.00351…

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simplify 2(993000)(9.7*10^{-9})ln(1+2/10)

simplify

2 (993000) (9.7 \cdot 1 0^{- 9}) ln (1 + \frac{2}{10})

0.00351 \dots

Solution steps

2 (993000) (9.7 \cdot 1 0^{- 9}) ln (1 + \frac{2}{10})

Apply exponent rule:

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

= 2 \cdot 993000 \cdot 9.7 \cdot \frac{1}{1 0 ^{9}} ln (\frac{2}{10} + 1)

Multiply fractions:

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

= 9.7 \cdot \frac{1 \cdot 2 \cdot 993000 ln ( \frac{2}{10} + 1 )}{1 0 ^{9}}

\frac{1 \cdot 2 \cdot 993000 ln ( 1 + \frac{2}{10} )}{1 0 ^{9}} = \frac{993 ln ( \frac{6}{5} )}{500000}

= 9.7 \cdot \frac{993 ln ( \frac{6}{5} )}{500000}

Multiply fractions:

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

= \frac{993 ln ( \frac{6}{5} ) \cdot 9.7}{500000}

Multiply the numbers:

993 \cdot 9.7 = 9632.1

= \frac{9632.1 ln ( \frac{6}{5} )}{500000}

Divide the numbers:

\frac{9632.1}{500000} = 0.0192642

= 0.0192642 ln (\frac{6}{5})

Convert element to a decimal form

\frac{6}{5} = 1.2

= 0.0192642 ln (1.2)

Simplify

ln (1.2) : 0.18232 \dots

= 0.0192642 \cdot 0.18232 \dots

Multiply the numbers:

0.0192642 \cdot 0.18232 \dots = 0.00351 \dots

= 0.00351 \dots

e^{- 2} \cdot e^{4}

1.334 \cdot 1 0^{- 9} (\frac{0.4}{0.5})

(7 ab c) (2 a^{3} b c)

y^{\frac{1}{2}} (2 y^{\frac{1}{2}})

0.5 \cdot 400000 \cdot 0. 5^{2}

What is 2(993000)(9.7*10^{-9})ln(1+2/10) ?
The solution to 2(993000)(9.7*10^{-9})ln(1+2/10) is 0.00351…