What is 1000(1+(0.1)/(12))^{60} ?

The solution to 1000(1+(0.1)/(12))^{60} is (121^{60})/(5^{57)*8^{59}*3^{60}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1000(1+(0.1)/(12))^{60}

simplify

1000 (1 + \frac{0.1}{12})^{60}

\frac{12 1 ^{60}}{5 ^{57} \cdot 8 ^{59} \cdot 3 ^{60}}

Decimal Notation

1645.30893 \dots

Solution steps

1000 (1 + \frac{0.1}{12})^{60}

Simplify

1 + \frac{0.1}{12} : \frac{121}{120}

= 1000 (\frac{121}{120})^{60}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{121}{120})^{60} = \frac{12 1 ^{60}}{12 0 ^{60}}

= 1000 \cdot \frac{12 1 ^{60}}{12 0 ^{60}}

1000 \cdot \frac{12 1 ^{60}}{12 0 ^{60}} = \frac{12 1 ^{60}}{5 ^{57} \cdot 8 ^{59} \cdot 3 ^{60}}

= \frac{12 1 ^{60}}{5 ^{57} \cdot 8 ^{59} \cdot 3 ^{60}}

6 x^{2} + 25 x + 4

2 x^{2} + 18 x = 20

8 m = 5 m + 12

3 y^{2} = 11 y - 6

(- 3 x)^{- 2}

What is 1000(1+(0.1)/(12))^{60} ?
The solution to 1000(1+(0.1)/(12))^{60} is (121^{60})/(5^{57)*8^{59}*3^{60}}