What is 100*pi*300*10^{-3} ?

The solution to 100*pi*300*10^{-3} is 30pi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 100pi300*10^{-3}

simplify

100 \cdot π \cdot 300 \cdot 1 0^{- 3}

30 π

Decimal Notation

94.24777 \dots

Solution steps

100 π 300 \cdot 1 0^{- 3}

Apply exponent rule:

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

= 100 \cdot 300 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 100 π 300}{1 0 ^{3}}

Multiply the numbers:

1 \cdot 100 \cdot 300 = 30000

= \frac{30000 π}{1 0 ^{3}}

Factor

30000 : 2^{4} \cdot 5^{4} \cdot 3

Factor

1 0^{3} : 2^{3} \cdot 5^{3}

= \frac{2 ^{4} \cdot 5 ^{4} \cdot 3 π}{2 ^{3} \cdot 5 ^{3}}

Cancel

\frac{2 ^{4} \cdot 3 \cdot 5 ^{4} π}{2 ^{3} \cdot 5 ^{3}} : 2 \cdot 3 \cdot 5 π

= 2 \cdot 3 \cdot 5 π

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 30 π

(3 x^{2}) (8 x^{5})

(e^{x} - e^{- x}) (e^{x} - e^{- x})

e^{- l n (b)}

e^{- 2 x} \cdot e^{- y}

150 e^{- 0.02 (5)} (1 - 0.02 (5))