What is ((0.4^5)/5)*4pi*9*pi*10^{-9} ?

The solution to ((0.4^5)/5)*4pi*9*pi*10^{-9} is 7.27666E-10

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simplify ((0.4^5)/5)4pi9pi10^{-9}

simplify

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

7.27666 E - 10

Solution steps

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

Apply exponent rule:

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

ππ = π^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 4 \cdot 9 = 36

= \frac{36 \cdot 0. 4 ^{5} π ^{2}}{1 0 ^{9} \cdot 5}

Factor

36 : 2^{2} \cdot 3^{2}

Factor

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

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

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

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

Cancel

\frac{2 ^{2} \cdot 3 ^{2} \cdot 0. 4 ^{5} π ^{2}}{2 ^{9} \cdot 5 ^{10}} : \frac{3 ^{2} \cdot 0. 4 ^{5} π ^{2}}{5 ^{10} \cdot 2 ^{7}}

= \frac{3 ^{2} \cdot 0. 4 ^{5} π ^{2}}{5 ^{10} \cdot 2 ^{7}}

3^{2} \cdot 0. 4^{5} π^{2} = 0.09216 π^{2}

= \frac{0.09216 π ^{2}}{5 ^{10} \cdot 2 ^{7}}

5^{10} \cdot 2^{7} = 1250000000

= \frac{0.09216 π ^{2}}{1250000000}

Convert element to a decimal form

π^{2} = 9.86960 \dots

= \frac{0.09216 \cdot 9.86960 \dots}{1250000000}

Multiply the numbers:

0.09216 \cdot 9.86960 \dots = 0.90958 \dots

= \frac{0.90958 \dots}{1250000000}

Divide the numbers:

\frac{0.90958 \dots}{1250000000} = 7.27666 E - 10

= 7.27666 E - 10

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What is ((0.4^5)/5)*4pi*9*pi*10^{-9} ?
The solution to ((0.4^5)/5)*4pi*9*pi*10^{-9} is 7.27666E-10