What is (10000)/(0.05)(1.05)^{-25}e^{-0.06(25)} ?

The solution to (10000)/(0.05)(1.05)^{-25}e^{-0.06(25)} is 13178.19094…

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simplify (10000)/(0.05)(1.05)^{-25}e^{-0.06(25)}

simplify

\frac{10000}{0.05} (1.05)^{- 25} e^{- 0.06 (25)}

13178.19094 \dots

Solution steps

\frac{10000}{0.05} (1.05)^{- 25} e^{- 0.06 (25)}

Apply exponent rule:

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

= e^{- 25 \cdot 0.06} \frac{10000}{0.05} \cdot \frac{1}{1.0 5 ^{25}}

Apply exponent rule:

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

= \frac{10000}{0.05} \cdot \frac{1}{1.0 5 ^{25}} \cdot \frac{1}{e ^{25 \cdot 0.06}}

Multiply the numbers:

0.06 \cdot 25 = 1.5

= \frac{1}{e ^{1.5}} \cdot \frac{10000}{0.05} \cdot \frac{1}{1.0 5 ^{25}}

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 ^{25} e ^{1.5}}

Multiply the numbers:

10000 \cdot 1 \cdot 1 = 10000

= \frac{10000}{0.05 \cdot 1.0 5 ^{25} e ^{1.5}}

0.05 \cdot 1.0 5^{25} e^{1.5} = 0.16931 \dots e^{1.5}

= \frac{10000}{0.16931 \dots e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{10000}{0.16931 \dots \cdot 4.48168 \dots}

Multiply the numbers:

0.16931 \dots \cdot 4.48168 \dots = 0.75882 \dots

= \frac{10000}{0.75882 \dots}

Divide the numbers:

\frac{10000}{0.75882 \dots} = 13178.19094 \dots

= 13178.19094 \dots

- 9 u (3 u^{8})

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e^{- \frac{3.1}{3.2}}

x^{0.2} (2 x)^{0.8}

What is (10000)/(0.05)(1.05)^{-25}e^{-0.06(25)} ?
The solution to (10000)/(0.05)(1.05)^{-25}e^{-0.06(25)} is 13178.19094…