What is (4pi*10^{-4})/(2pi*8) ?

The solution to (4pi*10^{-4})/(2pi*8) is 1/40000

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simplify (4pi10^{-4})/(2pi8)

simplify

\frac{4 π \cdot 1 0 ^{- 4}}{2 π \cdot 8}

\frac{1}{40000}

Decimal Notation

0.000025

Solution steps

\frac{4 π 1 0 ^{- 4}}{2 π 8}

Multiply the numbers:

2 \cdot 8 = 16

= \frac{1 0 ^{- 4} \cdot 4 π}{16 π}

Cancel

\frac{4 π 1 0 ^{- 4}}{16 π} : \frac{1 0 ^{- 4}}{4}

= \frac{1 0 ^{- 4}}{4}

Factor

1 0^{- 4} : 2^{- 4} \cdot 5^{- 4}

Factor

4 : 2^{2}

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

Cancel

\frac{2 ^{- 4} \cdot 5 ^{- 4}}{2 ^{2}} : \frac{5 ^{- 4}}{2 ^{6}}

= \frac{5 ^{- 4}}{2 ^{6}}

Apply exponent rule:

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

5^{- 4} = \frac{1}{5 ^{4}}

= \frac{\frac{1}{5 ^{4}}}{2 ^{6}}

Apply the fraction rule:

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

= \frac{1}{5 ^{4} \cdot 2 ^{6}}

5^{4} \cdot 2^{6} = 40000

= \frac{1}{40000}

2 x^{2} + 13 x + 6

8 x^{3} - 12 x^{2} + 4 x

(x^{8})^{\frac{1}{5}}

\frac{2 x ^{7} y ^{2}}{6 x ^{7} y ^{2}}

\frac{5}{9} \cdot 24

What is (4pi*10^{-4})/(2pi*8) ?
The solution to (4pi*10^{-4})/(2pi*8) is 1/40000