What is ((0.2^5)/5)*4pi*9*pi*10^{-9}*1/4 ?

The solution to ((0.2^5)/5)*4pi*9*pi*10^{-9}*1/4 is 5.68489E-12

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simplify ((0.2^5)/5)4pi9*pi10^{-9}1/4

simplify

(\frac{0. 2 ^{5}}{5}) \cdot 4 π \cdot 9 \cdot π \cdot 1 0^{- 9} \cdot \frac{1}{4}

5.68489 E - 12

Solution steps

(\frac{0. 2 ^{5}}{5}) \cdot 4 π 9 π 1 0^{- 9} \cdot \frac{1}{4}

Apply exponent rule:

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

ππ = π^{1 + 1}

= \frac{0. 2 ^{5}}{5} \cdot 4 \cdot 9 π^{1 + 1} \cdot 1 0^{- 9} \cdot \frac{1}{4}

Add the numbers:

1 + 1 = 2

= \frac{0. 2 ^{5}}{5} \cdot 4 \cdot 9 π^{2} \cdot 1 0^{- 9} \cdot \frac{1}{4}

Apply exponent rule:

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

1 0^{- 9} = \frac{1}{1 0 ^{9}}

= 4 \cdot 9 π^{2} \frac{1}{4} \cdot \frac{1}{1 0 ^{9}} \cdot \frac{0. 2 ^{5}}{5}

Multiply fractions:

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

= \frac{0. 2 ^{5} \cdot 1 \cdot 1 \cdot 4 \cdot 9 π ^{2}}{5 \cdot 1 0 ^{9} \cdot 4}

Cancel the common factor:

4

= \frac{0. 2 ^{5} \cdot 1 \cdot 1 \cdot 9 π ^{2}}{5 \cdot 1 0 ^{9}}

Multiply the numbers:

1 \cdot 1 \cdot 9 = 9

= \frac{9 \cdot 0. 2 ^{5} π ^{2}}{1 0 ^{9} \cdot 5}

9 \cdot 0. 2^{5} π^{2} = 0.00288 π^{2}

= \frac{0.00288 π ^{2}}{1 0 ^{9} \cdot 5}

5 \cdot 1 0^{9} = 5000000000

= \frac{0.00288 π ^{2}}{5000000000}

Convert element to a decimal form

π^{2} = 9.86960 \dots

= \frac{0.00288 \cdot 9.86960 \dots}{5000000000}

Multiply the numbers:

0.00288 \cdot 9.86960 \dots = 0.02842 \dots

= \frac{0.02842 \dots}{5000000000}

Divide the numbers:

\frac{0.02842 \dots}{5000000000} = 5.68489 E - 12

= 5.68489 E - 12

x e^{- \frac{1}{2}}

(e^{x^{2}}) \cdot (e^{x^{- 1}})

(\frac{0. 2 ^{5}}{5}) \cdot 4 π \cdot 9 \cdot π \cdot 1 0^{- 9} \cdot \frac{1}{8}

[(- 2) 0.5]^{- 2} \cdot (\frac{4}{5})^{3} \cdot (- \frac{5}{3})^{- 2}

What is ((0.2^5)/5)*4pi*9*pi*10^{-9}*1/4 ?
The solution to ((0.2^5)/5)*4pi*9*pi*10^{-9}*1/4 is 5.68489E-12