What is ((0.2^5)/5)*4pi*9*pi*10^{-9}*8 ?

The solution to ((0.2^5)/5)*4pi*9*pi*10^{-9}*8 is 1.81917E-10

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simplify ((0.2^5)/5)4pi9*pi10^{-9}8

simplify

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

1.81917 E - 10

Solution steps

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

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 8

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

= 4 \cdot 9 \cdot 8 π^{2} \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 4 \cdot 9 π ^{2} \cdot 8}{5 \cdot 1 0 ^{9}}

Multiply the numbers:

1 \cdot 4 \cdot 9 \cdot 8 = 288

= \frac{288 \cdot 0. 2 ^{5} π ^{2}}{1 0 ^{9} \cdot 5}

Factor

288 : 2^{5} \cdot 3^{2}

Factor

1 0^{9} : 2^{9} \cdot 5^{9}

= \frac{2 ^{5} \cdot 3 ^{2} \cdot 0. 2 ^{5} π ^{2}}{2 ^{9} \cdot 5 ^{9} \cdot 5}

5 \cdot 2^{9} \cdot 5^{9} = 2^{9} \cdot 5^{10}

= \frac{2 ^{5} \cdot 3 ^{2} \cdot 0. 2 ^{5} π ^{2}}{5 ^{10} \cdot 2 ^{9}}

Cancel

\frac{2 ^{5} \cdot 3 ^{2} \cdot 0. 2 ^{5} π ^{2}}{2 ^{9} \cdot 5 ^{10}} : \frac{3 ^{2} \cdot 0. 2 ^{5} π ^{2}}{5 ^{10} \cdot 2 ^{4}}

= \frac{3 ^{2} \cdot 0. 2 ^{5} π ^{2}}{5 ^{10} \cdot 2 ^{4}}

3^{2} \cdot 0. 2^{5} π^{2} = 0.00288 π^{2}

= \frac{0.00288 π ^{2}}{5 ^{10} \cdot 2 ^{4}}

5^{10} \cdot 2^{4} = 156250000

= \frac{0.00288 π ^{2}}{156250000}

Convert element to a decimal form

π^{2} = 9.86960 \dots

= \frac{0.00288 \cdot 9.86960 \dots}{156250000}

Multiply the numbers:

0.00288 \cdot 9.86960 \dots = 0.02842 \dots

= \frac{0.02842 \dots}{156250000}

Divide the numbers:

\frac{0.02842 \dots}{156250000} = 1.81917 E - 10

= 1.81917 E - 10

2.2 \cdot 1 0^{- 8}

e^{x} cos (x) \cdot e^{x} cos (x)

(e^{(\frac{1}{4} x)})^{2}

2.2 \cdot 1 0^{- 1}

(5 x y^{2 + b}) (3 y^{2})

What is ((0.2^5)/5)*4pi*9*pi*10^{-9}*8 ?
The solution to ((0.2^5)/5)*4pi*9*pi*10^{-9}*8 is 1.81917E-10