en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4.5*10^{-10}

Solution

simplify

4.5 \cdot 1 0^{- 10}

Solution

\frac{9}{20000000000}

+1

Decimal Notation

4.5 E - 10

Solution steps

4.5 \cdot 1 0^{- 10}

Apply exponent rule:

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

1 0^{- 10} = \frac{1}{1 0 ^{10}}

= 4.5 \cdot \frac{1}{1 0 ^{10}}

4.5 \cdot \frac{1}{1 0 ^{10}} = \frac{4.5}{1 0 ^{10}}

= \frac{4.5}{1 0 ^{10}}

\frac{4.5}{1 0 ^{10}} = \frac{45}{10 \cdot 1 0 ^{10}}

= \frac{45}{10 \cdot 1 0 ^{10}}

10 \cdot 1 0^{10} = 1 0^{11}

= \frac{45}{1 0 ^{11}}

Factor the number:

45 = 5 \cdot 9

= \frac{5 \cdot 9}{1 0 ^{11}}

Factor

1 0^{11} : 5^{11} \cdot 2^{11}

= \frac{5 \cdot 9}{5 ^{11} \cdot 2 ^{11}}

\frac{5}{5 ^{11}} = \frac{1}{5 ^{10}}

= \frac{9}{5 ^{10} \cdot 2 ^{11}}

5^{10} \cdot 2^{11} = 20000000000

= \frac{9}{20000000000}

Popular Examples

simplify [(x^{-2})^3]^{-1}simplify

[(x^{- 2})^{3}]^{- 1}

simplify (8.3*10^{-3})(100)simplify

(8.3 \cdot 1 0^{- 3}) (100)

simplify (1*10^{-9})(5*10^{-9})simplify

(1 \cdot 1 0^{- 9}) (5 \cdot 1 0^{- 9})

simplify 4.39*10^{-7}simplify

4.39 \cdot 1 0^{- 7}

simplify 6.626*10^{-34}*(3*10^8)/(850)simplify

6.626 \cdot 1 0^{- 34} \cdot \frac{3 \cdot 1 0 ^{8}}{850}

Frequently Asked Questions (FAQ)

What is 4.5*10^{-10} ?
The solution to 4.5*10^{-10} is 9/20000000000