What is 43.2*6.022*10^{-23} ?

The solution to 43.2*6.022*10^{-23} is (81297)/(5^{23)*2621440000}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 43.26.02210^{-23}

simplify

43.2 \cdot 6.022 \cdot 1 0^{- 23}

\frac{81297}{5 ^{23} \cdot 2621440000}

Decimal Notation

2.6015 E - 21

Solution steps

43.2 \cdot 6.022 \cdot 1 0^{- 23}

Multiply the numbers:

43.2 \cdot 6.022 = 260.1504

= 260.1504 \cdot 1 0^{- 23}

= 1 0^{- 23} \cdot 260.1504

Apply exponent rule:

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

1 0^{- 23} = \frac{1}{1 0 ^{23}}

= \frac{1}{1 0 ^{23}} \cdot 260.1504

\frac{1}{1 0 ^{23}} \cdot 260.1504 = \frac{260.1504}{1 0 ^{23}}

= \frac{260.1504}{1 0 ^{23}}

\frac{260.1504}{1 0 ^{23}} = \frac{2601504}{10000 \cdot 1 0 ^{23}}

= \frac{2601504}{10000 \cdot 1 0 ^{23}}

Factor the number:

2601504 = 16 \cdot 162594

= \frac{16 \cdot 162594}{10000 \cdot 1 0 ^{23}}

Factor the number:

10000 = 16 \cdot 625

= \frac{16 \cdot 162594}{16 \cdot 625 \cdot 1 0 ^{23}}

Cancel the common factor:

16

= \frac{162594}{625 \cdot 1 0 ^{23}}

Factor the number:

162594 = 2 \cdot 81297

= \frac{2 \cdot 81297}{625 \cdot 1 0 ^{23}}

Factor

1 0^{23} : 2^{23} \cdot 5^{23}

= \frac{2 \cdot 81297}{625 \cdot 2 ^{23} \cdot 5 ^{23}}

\frac{2}{2 ^{23}} = \frac{1}{2 ^{22}}

= \frac{81297}{625 \cdot 2 ^{22} \cdot 5 ^{23}}

625 \cdot 2^{22} \cdot 5^{23} = 5^{23} \cdot 2621440000

= \frac{81297}{5 ^{23} \cdot 2621440000}

(10 y^{2}) (10 y^{6})

(e^{l n (t)})^{i 2}

(8 x^{3}) (3 x^{2})

What is 43.2*6.022*10^{-23} ?
The solution to 43.2*6.022*10^{-23} is (81297)/(5^{23)*2621440000}