What is (10000)/(0.05)*1.05^{-20}*e^{-0.06*20} ?

The solution to (10000)/(0.05)*1.05^{-20}*e^{-0.06*20} is 22703.38615…

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simplify (10000)/(0.05)1.05^{-20}e^{-0.06*20}

simplify

\frac{10000}{0.05} \cdot 1.0 5^{- 20} \cdot e^{- 0.06 \cdot 20}

22703.38615 \dots

Solution steps

\frac{10000}{0.05} \cdot 1.0 5^{- 20} e^{- 0.06 \cdot 20}

Apply exponent rule:

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

= e^{- 20 \cdot 0.06} \frac{10000}{0.05} \cdot \frac{1}{1.0 5 ^{20}}

Apply exponent rule:

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

= \frac{10000}{0.05} \cdot \frac{1}{1.0 5 ^{20}} \cdot \frac{1}{e ^{20 \cdot 0.06}}

Multiply the numbers:

0.06 \cdot 20 = 1.2

= \frac{1}{e ^{1.2}} \cdot \frac{10000}{0.05} \cdot \frac{1}{1.0 5 ^{20}}

Multiply fractions:

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

= \frac{10000 \cdot 1 \cdot 1}{0.05 \cdot 1.0 5 ^{20} e ^{1.2}}

Multiply the numbers:

10000 \cdot 1 \cdot 1 = 10000

= \frac{10000}{0.05 \cdot 1.0 5 ^{20} e ^{1.2}}

0.05 \cdot 1.0 5^{20} e^{1.2} = 0.13266 \dots e^{1.2}

= \frac{10000}{0.13266 \dots e ^{1.2}}

e^{1.2} = 3.32011 \dots

= \frac{10000}{0.13266 \dots \cdot 3.32011 \dots}

Multiply the numbers:

0.13266 \dots \cdot 3.32011 \dots = 0.44046 \dots

= \frac{10000}{0.44046 \dots}

Divide the numbers:

\frac{10000}{0.44046 \dots} = 22703.38615 \dots

= 22703.38615 \dots

3^{- 3} 0. 3^{1}

\frac{π}{2} e^{- 2 (0)}

x^{2} (m (m - 1) x^{m - 2})

7.94 \cdot 1 0^{- 4}

What is (10000)/(0.05)*1.05^{-20}*e^{-0.06*20} ?
The solution to (10000)/(0.05)*1.05^{-20}*e^{-0.06*20} is 22703.38615…