en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 6*10^{-2}

Solution

expand

6 \cdot 1 0^{- 2}

Solution

\frac{3}{50}

+1

Solution steps

6 \cdot 1 0^{- 2}

Apply exponent rule:

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

= 6 \cdot \frac{1}{1 0 ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 6}{1 0 ^{2}}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6}{1 0 ^{2}}

Factor

6 : 2 \cdot 3

Factor

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

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

Cancel the common factor:

2

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

5^{2} \cdot 2 = 50

= \frac{3}{50}

Popular Examples

simplify e^{-t}L(t)simplify

e^{- t} L (t)

simplify 2sqrt(3)(15sqrt(2))simplify

23 (152)

simplify \sqrt[10]{32^5}simplify

simplify 2.5*(10^{-2})simplify

2.5 \cdot (1 0^{- 2})

simplify 20000*1e^{-4}simplify

20000 \cdot 1 e^{- 4}

Frequently Asked Questions (FAQ)

What is expand 6*10^{-2} ?
The solution to expand 6*10^{-2} is 3/50