What is 2*pi*10^7*33.2*10^{-9} ?

The solution to 2*pi*10^7*33.2*10^{-9} is 2.08601…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2pi10^733.210^{-9}

simplify

2 \cdot π \cdot 1 0^{7} \cdot 33.2 \cdot 1 0^{- 9}

2.08601 \dots

Solution steps

2 π 1 0^{7} \cdot 33.2 \cdot 1 0^{- 9}

Apply exponent rule:

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

1 0^{7} \cdot 1 0^{- 9} = 1 0^{7 - 9}

= 2 π 33.2 \cdot 1 0^{7 - 9}

Subtract the numbers:

7 - 9 = - 2

= 2 π 33.2 \cdot 1 0^{- 2}

Apply exponent rule:

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

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

= 2 \cdot 33.2 π \frac{1}{1 0 ^{2}}

Multiply fractions:

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

= 33.2 \cdot \frac{1 \cdot 2 π}{1 0 ^{2}}

\frac{1 \cdot 2 π}{1 0 ^{2}} = \frac{π}{50}

= 33.2 \cdot \frac{π}{50}

Multiply fractions:

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

= \frac{π 33.2}{50}

Multiply the numbers:

3.14159 \dots \cdot 33.2 = 104.30087 \dots

= \frac{104.30087 \dots}{50}

Divide the numbers:

\frac{104.30087 \dots}{50} = 2.08601 \dots

= 2.08601 \dots

2 e^{- 2 (5 - 3)}

3.02 \cdot 1 0^{- 19}

(a b^{2}) (a b^{3}) (a^{2} b)

1.67 \cdot 1 0^{- 6} \cdot 0.0003

e^{- 1.17 \cdot 1 0^{- 4} (5240)}

What is 2*pi*10^7*33.2*10^{-9} ?
The solution to 2*pi*10^7*33.2*10^{-9} is 2.08601…