en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4pix10^{-7}

Solution

simplify

4 π x 1 0^{- 7}

Solution

\frac{π x}{2500000}

Solution steps

4 π x \cdot 1 0^{- 7}

Apply exponent rule:

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

= 4 π \frac{1}{1 0 ^{7}} x

Multiply fractions:

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

= \frac{1 \cdot 4 π x}{1 0 ^{7}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4 π x}{1 0 ^{7}}

Factor

4 : 2^{2}

Factor

1 0^{7} : 2^{7} \cdot 5^{7}

= \frac{2 ^{2} π x}{2 ^{7} \cdot 5 ^{7}}

Cancel

\frac{2 ^{2} π x}{2 ^{7} \cdot 5 ^{7}} : \frac{π x}{5 ^{7} \cdot 2 ^{5}}

= \frac{π x}{5 ^{7} \cdot 2 ^{5}}

5^{7} \cdot 2^{5} = 2500000

= \frac{π x}{2500000}

Popular Examples

simplify (2x^2)(3x^2)simplify

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

simplify (-1)^n(1)^n simplify

(- 1)^{n} (1)^{n}

simplify e^{-4/2}simplify

e^{- \frac{4}{2}}

simplify s^2(s+1)^2 simplify

s^{2} (s + 1)^{2}

simplify (sqrt(x))/(sqrt(-x))simplify

\frac{x}{- x}

Frequently Asked Questions (FAQ)

What is 4pix10^{-7} ?
The solution to 4pix10^{-7} is (pix)/(2500000)