What is 40*250*10^{-6}*25*10^{-9}*20000 ?

The solution to 40*250*10^{-6}*25*10^{-9}*20000 is 1/200000

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simplify 4025010^{-6}2510^{-9}*20000

simplify

40 \cdot 250 \cdot 1 0^{- 6} \cdot 25 \cdot 1 0^{- 9} \cdot 20000

\frac{1}{200000}

Decimal Notation

0.000005

Solution steps

40 \cdot 250 \cdot 1 0^{- 6} \cdot 25 \cdot 1 0^{- 9} \cdot 20000

Multiply the numbers:

40 \cdot 250 \cdot 25 \cdot 20000 = 5000000000

= 5000000000 \cdot 1 0^{- 6} \cdot 1 0^{- 9}

Apply exponent rule:

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

1 0^{- 6} \cdot 1 0^{- 9} = 1 0^{- 6 - 9}

= 5000000000 \cdot 1 0^{- 6 - 9}

Subtract the numbers:

- 6 - 9 = - 15

= 5000000000 \cdot 1 0^{- 15}

Apply exponent rule:

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

1 0^{- 15} = \frac{1}{1 0 ^{15}}

= 5000000000 \cdot \frac{1}{1 0 ^{15}}

5000000000 \cdot \frac{1}{1 0 ^{15}} = \frac{5000000000}{1 0 ^{15}}

= \frac{5000000000}{1 0 ^{15}}

Factor

5000000000 : 1 0^{9} \cdot 5

= \frac{1 0 ^{9} \cdot 5}{1 0 ^{15}}

\frac{1 0 ^{9}}{1 0 ^{15}} = \frac{1}{1 0 ^{6}}

= \frac{5}{1 0 ^{6}}

Factor

1 0^{6} : 5^{6} \cdot 2^{6}

= \frac{5}{5 ^{6} \cdot 2 ^{6}}

\frac{5}{5 ^{6}} = \frac{1}{5 ^{5}}

= \frac{1}{5 ^{5} \cdot 2 ^{6}}

5^{5} \cdot 2^{6} = 200000

= \frac{1}{200000}

(2.5 \cdot 1 0^{- 4}) (6.7 \cdot 1 0^{- 5})

22 \cdot 4 π \cdot 1 0^{- 1}

16137.431 \cdot 500 \cdot 0.12 \cdot 1 0^{- 6}

e^{- x} \cdot (- x) e^{- x}

4 π \cdot 1 0^{- 7} \frac{( 30 0 ^{2} ) ( \frac{4}{10 0 ^{2}} )}{0.25}

What is 40*250*10^{-6}*25*10^{-9}*20000 ?
The solution to 40*250*10^{-6}*25*10^{-9}*20000 is 1/200000