en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1.6*10^{-16}

Solution

simplify

1.6 \cdot 1 0^{- 16}

Solution

\frac{1}{5 ^{17} \cdot 8192}

+1

Decimal Notation

1.6 E - 16

Solution steps

1.6 \cdot 1 0^{- 16}

Apply exponent rule:

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

1 0^{- 16} = \frac{1}{1 0 ^{16}}

= 1.6 \cdot \frac{1}{1 0 ^{16}}

1.6 \cdot \frac{1}{1 0 ^{16}} = \frac{1.6}{1 0 ^{16}}

= \frac{1.6}{1 0 ^{16}}

\frac{1.6}{1 0 ^{16}} = \frac{16}{10 \cdot 1 0 ^{16}}

= \frac{16}{10 \cdot 1 0 ^{16}}

10 \cdot 1 0^{16} = 1 0^{17}

= \frac{16}{1 0 ^{17}}

Factor the number:

16 = 2^{4}

= \frac{2 ^{4}}{1 0 ^{17}}

Factor

1 0^{17} : 2^{17} \cdot 5^{17}

= \frac{2 ^{4}}{2 ^{17} \cdot 5 ^{17}}

\frac{2 ^{4}}{2 ^{17}} = \frac{1}{2 ^{13}}

= \frac{1}{2 ^{13} \cdot 5 ^{17}}

2^{13} = 8192

= \frac{1}{5 ^{17} \cdot 8192}

Popular Examples

simplify (5x-7y^2)^2(5x+7y^2)^2 simplify

(5 x - 7 y^{2})^{2} (5 x + 7 y^{2})^{2}

simplify c^2d^2 simplify

c^{2} d^{2}

simplify e^{-2ln(4^2)}simplify

e^{- 2 l n (4^{2})}

simplify e^{-((ΔeN))/4}simplify

e^{- \frac{( Δ e N )}{4}}

simplify \sqrt[4]{p^3}simplify

Frequently Asked Questions (FAQ)

What is 1.6*10^{-16} ?
The solution to 1.6*10^{-16} is 1/(5^{17)*8192}