What is 3000000(1+(0.1)/4)^{-20} ?

The solution to 3000000(1+(0.1)/4)^{-20} is (3000000*40^{20})/(41^{20)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3000000(1+(0.1)/4)^{-20}

simplify

3000000 (1 + \frac{0.1}{4})^{- 20}

\frac{3000000 \cdot 4 0 ^{20}}{4 1 ^{20}}

Decimal Notation

1830812.82857 \dots

Solution steps

3000000 (1 + \frac{0.1}{4})^{- 20}

Apply exponent rule:

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

(1 + \frac{0.1}{4})^{- 20} = \frac{1}{( 1 + \frac{0.1}{4} ) ^{20}}

= 3000000 \cdot \frac{1}{( 1 + \frac{0.1}{4} ) ^{20}}

(1 + \frac{0.1}{4})^{20} = \frac{4 1 ^{20}}{4 0 ^{20}}

= 3000000 \cdot \frac{1}{\frac{4 1 ^{20}}{4 0 ^{20}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= 3000000 \cdot \frac{4 0 ^{20}}{4 1 ^{20}}

3000000 \cdot \frac{4 0 ^{20}}{4 1 ^{20}} = \frac{3000000 \cdot 4 0 ^{20}}{4 1 ^{20}}

= \frac{3000000 \cdot 4 0 ^{20}}{4 1 ^{20}}

e^{- 2.8}

5 t e^{- 4 x t}

- 0.5 \cdot 2^{- 8}

2^{\frac{3}{4}} \cdot 8^{\frac{3}{4}}

What is 3000000(1+(0.1)/4)^{-20} ?
The solution to 3000000(1+(0.1)/4)^{-20} is (3000000*40^{20})/(41^{20)}