What is 1.99((x*3*10^8)/(1.6*10^{-19)})*623^{-1} ?

The solution to 1.99((x*3*10^8)/(1.6*10^{-19)})*623^{-1} is (2503999488*5^{26}x)/(623)

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simplify 1.99((x310^8)/(1.610^{-19)})623^{-1}

simplify

1.99 (\frac{x \cdot 3 \cdot 1 0 ^{8}}{1.6 \cdot 1 0 ^{- 19}}) \cdot 62 3^{- 1}

\frac{2503999488 \cdot 5 ^{26} x}{623}

Solution steps

1.99 (\frac{x \cdot 3 \cdot 1 0 ^{8}}{1.6 \cdot 1 0 ^{- 19}}) \cdot 62 3^{- 1}

Apply rule:

(a) = a

(\frac{x \cdot 3 \cdot 1 0 ^{8}}{1.6 \cdot 1 0 ^{- 19}}) = \frac{x \cdot 3 \cdot 1 0 ^{8}}{1.6 \cdot 1 0 ^{- 19}}

= 1.99 \cdot \frac{x \cdot 3 \cdot 1 0 ^{8}}{1.6 \cdot 1 0 ^{- 19}} \cdot 62 3^{- 1}

Apply exponent rule:

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

62 3^{- 1} = \frac{1}{623}

= 1.99 \cdot \frac{x \cdot 3 \cdot 1 0 ^{8}}{1.6 \cdot 1 0 ^{- 19}} \cdot \frac{1}{623}

1.99 = \frac{199}{100}

= \frac{199}{100} \cdot \frac{x \cdot 3 \cdot 1 0 ^{8}}{1.6 \cdot 1 0 ^{- 19}} \cdot \frac{1}{623}

Cancel

\frac{x \cdot 3 \cdot 1 0 ^{8}}{1.6 \cdot 1 0 ^{- 19}} : 5^{27} \cdot 251658240 x

= \frac{199}{100} \cdot 5^{27} \cdot 251658240 x \frac{1}{623}

Apply the fraction rule:

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

= \frac{199 \cdot 5 ^{27} \cdot 251658240 x \cdot 1}{100 \cdot 623}

Multiply the numbers:

199 \cdot 251658240 \cdot 1 = 50079989760

= \frac{50079989760 \cdot 5 ^{27} x}{100 \cdot 623}

Factor the number:

50079989760 = 20 \cdot 2503999488

= \frac{20 \cdot 2503999488 \cdot 5 ^{27} x}{100 \cdot 623}

Factor the number:

100 = 20 \cdot 5

= \frac{20 \cdot 2503999488 \cdot 5 ^{27} x}{20 \cdot 5 \cdot 623}

Cancel the common factor:

20

= \frac{2503999488 \cdot 5 ^{27} x}{5 \cdot 623}

\frac{5 ^{27}}{5} = 5^{26}

= \frac{2503999488 \cdot 5 ^{26} x}{623}

12500 \cdot 8.85 \cdot 1 0^{- 12}

(2^{5})^{3} \cdot (\frac{( 5 ^{3} ) ^{4}}{2 ^{3}})

45

(- 7)^{2}

e^{r} \cdot e^{- s}

What is 1.99((x*3*10^8)/(1.6*10^{-19)})*623^{-1} ?
The solution to 1.99((x*3*10^8)/(1.6*10^{-19)})*623^{-1} is (2503999488*5^{26}x)/(623)