What is 10^{-4}*(1-10^{-4})^{39}*0.9 ?

The solution to 10^{-4}*(1-10^{-4})^{39}*0.9 is (9999^{39}*0.9)/(10000^{40)}

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simplify 10^{-4}(1-10^{-4})^{39}0.9

simplify

1 0^{- 4} \cdot (1 - 1 0^{- 4})^{39} \cdot 0.9

\frac{999 9 ^{39} \cdot 0.9}{1000 0 ^{40}}

Decimal Notation

0.00008 \dots

Solution steps

1 0^{- 4} (1 - 1 0^{- 4})^{39} \cdot 0.9

1 0^{- 4} = \frac{1}{10000}

= \frac{1}{10000} (1 - 1 0^{- 4})^{39} \cdot 0.9

Simplify

1 - 1 0^{- 4} : \frac{9999}{10000}

= \frac{1}{10000} (\frac{9999}{10000})^{39} \cdot 0.9

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{9999}{10000})^{39} = \frac{999 9 ^{39}}{1000 0 ^{39}}

= \frac{1}{10000} \cdot \frac{999 9 ^{39}}{1000 0 ^{39}} \cdot 0.9

\frac{1}{10000} \cdot \frac{999 9 ^{39}}{1000 0 ^{39}} \cdot 0.9 = \frac{999 9 ^{39} \cdot 0.9}{1000 0 ^{40}}

= \frac{999 9 ^{39} \cdot 0.9}{1000 0 ^{40}}

20000 (1.0626)^{- 8}

2 \cdot 25 \cdot (- 0.9712 7^{2})

(8^{l o g_{8} (π)})^{6.9}

120 e^{- (6.81719) (\frac{1}{3})}

1 0^{- 0.9} \cdot 1000

What is 10^{-4}*(1-10^{-4})^{39}*0.9 ?
The solution to 10^{-4}*(1-10^{-4})^{39}*0.9 is (9999^{39}*0.9)/(10000^{40)}