What is 8*10^{-6}*7.5*10^{-4} ?

The solution to 8*10^{-6}*7.5*10^{-4} is 3/500000000

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 810^{-6}7.5*10^{-4}

simplify

8 \cdot 1 0^{- 6} \cdot 7.5 \cdot 1 0^{- 4}

\frac{3}{500000000}

Decimal Notation

0.000000006

Solution steps

8 \cdot 1 0^{- 6} \cdot 7.5 \cdot 1 0^{- 4}

Multiply the numbers:

8 \cdot 7.5 = 60

= 60 \cdot 1 0^{- 6} \cdot 1 0^{- 4}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{- 6} \cdot 1 0^{- 4} = 1 0^{- 6 - 4}

= 60 \cdot 1 0^{- 6 - 4}

Subtract the numbers:

- 6 - 4 = - 10

= 60 \cdot 1 0^{- 10}

Apply exponent rule:

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

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

= 60 \cdot \frac{1}{1 0 ^{10}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 60}{1 0 ^{10}}

Multiply the numbers:

1 \cdot 60 = 60

= \frac{60}{1 0 ^{10}}

Factor

60 : 2^{2} \cdot 3 \cdot 5

Factor

1 0^{10} : 2^{10} \cdot 5^{10}

= \frac{2 ^{2} \cdot 3 \cdot 5}{2 ^{10} \cdot 5 ^{10}}

Cancel

\frac{2 ^{2} \cdot 3 \cdot 5}{2 ^{10} \cdot 5 ^{10}} : \frac{3}{5 ^{9} \cdot 2 ^{8}}

= \frac{3}{5 ^{9} \cdot 2 ^{8}}

5^{9} \cdot 2^{8} = 500000000

= \frac{3}{500000000}

e^{- 10 t} (t + 5)^{2}

(2.2361)^{- 5} (\frac{5 ^{0}}{0 !})

e^{(- 0.01 x y^{2})}

9.56 \times 1 0^{- 1}

What is 8*10^{-6}*7.5*10^{-4} ?
The solution to 8*10^{-6}*7.5*10^{-4} is 3/500000000