What is 8000[(1-(1.1)^{-8})/(0.1)]x(1.1)^{-9} ?

The solution to 8000[(1-(1.1)^{-8})/(0.1)]x(1.1)^{-9} is 18100.23595…x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 8000[(1-(1.1)^{-8})/(0.1)]x(1.1)^{-9}

simplify

8000 [\frac{1 - ( 1.1 ) ^{- 8}}{0.1}] x (1.1)^{- 9}

18100.23595 \dots x

Solution steps

8000 [\frac{1 - ( 1.1 ) ^{- 8}}{0.1}] x (1.1)^{- 9}

Apply exponent rule:

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

= 8000 \cdot \frac{1}{1. 1 ^{9}} [\frac{1 - 1. 1 ^{- 8}}{0.1}] x

Remove parentheses:

(a) = a

= 8000 \cdot \frac{1 - 1. 1 ^{- 8}}{0.1} x \frac{1}{1. 1 ^{9}}

\frac{1 - 1. 1 ^{- 8}}{0.1} = \frac{0.53349 \dots}{0.1}

= 8000 \cdot \frac{1}{1. 1 ^{9}} \cdot \frac{0.53349 \dots}{0.1} x

Multiply fractions:

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

= \frac{0.53349 \dots \cdot 1 \cdot 8000 x}{0.1 \cdot 1. 1 ^{9}}

Multiply the numbers:

0.53349 \dots \cdot 1 \cdot 8000 = 4267.94095 \dots

= \frac{4267.94095 \dots x}{0.1 \cdot 1. 1 ^{9}}

0.1 \cdot 1. 1^{9} = 0.2357947691

= \frac{4267.94095 \dots x}{0.2357947691}

Divide the numbers:

\frac{4267.94095 \dots}{0.2357947691} = 18100.23595 \dots

= 18100.23595 \dots x

e^{- l n ∣ x + 1 ∣}

(32) 3

e^{x} \cdot e^{- 4 x}

(9 x^{2}) (5 x^{4})

(2.69 \cdot 1 0^{- 3}) \cdot (10.4 \cdot 1 0^{3})

What is 8000[(1-(1.1)^{-8})/(0.1)]x(1.1)^{-9} ?
The solution to 8000[(1-(1.1)^{-8})/(0.1)]x(1.1)^{-9} is 18100.23595…x