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

The solution to (10000)/(1.05)(1.05)^{-25}e^{-0.06(25)} is 627.53290…

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

simplify

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

627.53290 \dots

Solution steps

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

Apply exponent rule:

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

= e^{- 25 \cdot 0.06} \frac{10000}{1.05} \cdot \frac{1}{1.0 5 ^{25}}

Apply exponent rule:

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

= \frac{10000}{1.05} \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}{1.05} \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}{1.05 \cdot 1.0 5 ^{25} e ^{1.5}}

Multiply the numbers:

10000 \cdot 1 \cdot 1 = 10000

= \frac{10000}{1.0 5 ^{25} \cdot 1.05 e ^{1.5}}

1.05 \cdot 1.0 5^{25} e^{1.5} = 1.0 5^{26} e^{1.5}

= \frac{10000}{1.0 5 ^{26} e ^{1.5}}

1.0 5^{26} = 3.55567 \dots

= \frac{10000}{3.55567 \dots e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{10000}{3.55567 \dots \cdot 4.48168 \dots}

Multiply the numbers:

3.55567 \dots \cdot 4.48168 \dots = 15.93541 \dots

= \frac{10000}{15.93541 \dots}

Divide the numbers:

\frac{10000}{15.93541 \dots} = 627.53290 \dots

= 627.53290 \dots

x^{5} \cdot e^{- 3 l n (x)}

\frac{1}{2} \cdot 9.8 \cdot \frac{100 0 ^{2}}{36 0 ^{2}}

(\frac{A \cdot y}{x})^{0.5} \cdot A^{0.5}

(1 - 3 x + x^{2})^{3}

(a - b)^{100} \cdot (a + b)^{100}

What is (10000)/(1.05)(1.05)^{-25}e^{-0.06(25)} ?
The solution to (10000)/(1.05)(1.05)^{-25}e^{-0.06(25)} is 627.53290…