What is 1.6*10^{-8}*x/(1.6775*10^{-5)} ?

The solution to 1.6*10^{-8}*x/(1.6775*10^{-5)} is (16x)/(16775)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1.610^{-8}x/(1.6775*10^{-5)}

simplify

1.6 \cdot 1 0^{- 8} \cdot \frac{x}{1.6775 \cdot 1 0 ^{- 5}}

\frac{16 x}{16775}

Solution steps

1.6 \cdot 1 0^{- 8} \cdot \frac{x}{1.6775 \cdot 1 0 ^{- 5}}

1 0^{- 8} = \frac{1}{100000000}

= 1.6 \cdot \frac{1}{100000000} \cdot \frac{x}{1.6775 \cdot 1 0 ^{- 5}}

Simplify

1.6775 \cdot 1 0^{- 5} : 0.000016775

= 1.6 \cdot \frac{1}{100000000} \cdot \frac{x}{0.000016775}

Simplify

\frac{x}{0.000016775} : \frac{1000000000 x}{16775}

= 1.6 \cdot \frac{1}{100000000} \cdot \frac{1000000000 x}{16775}

Cancel

\frac{1000000000 x}{16775} : \frac{40000000 x}{671}

= 1.6 \cdot \frac{1}{100000000} \cdot \frac{40000000 x}{671}

1.6 = \frac{8}{5}

= \frac{8}{5} \cdot \frac{1}{100000000} \cdot \frac{40000000 x}{671}

Apply the fraction rule:

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

= \frac{8 \cdot 1 \cdot 40000000 x}{5 \cdot 100000000 \cdot 671}

Multiply the numbers:

5 \cdot 100000000 \cdot 671 = 335500000000

= \frac{8 \cdot 1 \cdot 40000000 x}{335500000000}

Multiply the numbers:

8 \cdot 1 \cdot 40000000 = 320000000

= \frac{320000000 x}{335500000000}

Factor the number:

320000000 = 20000000 \cdot 16

= \frac{20000000 \cdot 16 x}{335500000000}

Factor the number:

335500000000 = 20000000 \cdot 16775

= \frac{20000000 \cdot 16 x}{20000000 \cdot 16775}

Cancel the common factor:

20000000

= \frac{16 x}{16775}

e^{- 5 t} H (- t - 1)

15 e^{- 0.15 (4.62)}

0.1 \cdot e^{- 0.1}

What is 1.6*10^{-8}*x/(1.6775*10^{-5)} ?
The solution to 1.6*10^{-8}*x/(1.6775*10^{-5)} is (16x)/(16775)