en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 0.6*10^{-25}

Solution

simplify

0.6 \cdot 1 0^{- 25}

Solution

\frac{3}{5 ^{26} \cdot 33554432}

+1

Solution steps

0.6 \cdot 1 0^{- 25}

Apply exponent rule:

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

1 0^{- 25} = \frac{1}{1 0 ^{25}}

= 0.6 \cdot \frac{1}{1 0 ^{25}}

0.6 \cdot \frac{1}{1 0 ^{25}} = \frac{0.6}{1 0 ^{25}}

= \frac{0.6}{1 0 ^{25}}

\frac{0.6}{1 0 ^{25}} = \frac{6}{10 \cdot 1 0 ^{25}}

= \frac{6}{10 \cdot 1 0 ^{25}}

10 \cdot 1 0^{25} = 1 0^{26}

= \frac{6}{1 0 ^{26}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 3}{1 0 ^{26}}

Factor

1 0^{26} : 2^{26} \cdot 5^{26}

= \frac{2 \cdot 3}{2 ^{26} \cdot 5 ^{26}}

\frac{2}{2 ^{26}} = \frac{1}{2 ^{25}}

= \frac{3}{2 ^{25} \cdot 5 ^{26}}

2^{25} = 33554432

= \frac{3}{5 ^{26} \cdot 33554432}

Popular Examples

simplify (9*10^6)(8*10^8)simplify

(9 \cdot 1 0^{6}) (8 \cdot 1 0^{8})

simplify 16/24 e^{-2}simplify

\frac{16}{24} e^{- 2}

simplify 2.5^0(e)^{-2.5}simplify

2. 5^{0} (e)^{- 2.5}

simplify e^{-2t}e^{-1/2 t}simplify

e^{- 2 t} e^{- \frac{1}{2} t}

simplify e^{-6}((6^0)/(0!))simplify

e^{- 6} (\frac{6 ^{0}}{0 !})

Frequently Asked Questions (FAQ)

What is 0.6*10^{-25} ?
The solution to 0.6*10^{-25} is 3/(5^{26)*33554432}