What is 250(1.04)^{-4}((1-(1.04)^{-10})/(0.04)) ?

The solution to 250(1.04)^{-4}((1-(1.04)^{-10})/(0.04)) is 1733.30692…

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simplify 250(1.04)^{-4}((1-(1.04)^{-10})/(0.04))

simplify

250 (1.04)^{- 4} (\frac{1 - ( 1.04 ) ^{- 10}}{0.04})

1733.30692 \dots

Solution steps

250 (1.04)^{- 4} (\frac{1 - ( 1.04 ) ^{- 10}}{0.04})

Apply exponent rule:

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

= 250 \cdot \frac{1}{1.0 4 ^{4}} \cdot \frac{1 - 1.0 4 ^{- 10}}{0.04}

\frac{1 - 1.0 4 ^{- 10}}{0.04} = \frac{0.32443 \dots}{0.04}

= 250 \cdot \frac{1}{1.0 4 ^{4}} \cdot \frac{0.32443 \dots}{0.04}

Multiply fractions:

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

= \frac{1 \cdot 0.32443 \dots \cdot 250}{1.0 4 ^{4} \cdot 0.04}

Multiply the numbers:

1 \cdot 0.32443 \dots \cdot 250 = 81.10895 \dots

= \frac{81.10895 \dots}{0.04 \cdot 1.0 4 ^{4}}

1.0 4^{4} \cdot 0.04 = 0.0467943424

= \frac{81.10895 \dots}{0.0467943424}

Divide the numbers:

\frac{81.10895 \dots}{0.0467943424} = 1733.30692 \dots

= 1733.30692 \dots

(((3 a^{3} b^{2})^{2})^{- 5})^{- 3}

7 e^{- 5}

- \frac{1}{3} e^{- 3 x}

1.125 \cdot 1 0^{- 2}

x^{2} (6 x y y^{'} (x))

What is 250(1.04)^{-4}((1-(1.04)^{-10})/(0.04)) ?
The solution to 250(1.04)^{-4}((1-(1.04)^{-10})/(0.04)) is 1733.30692…