What is 4/3 pi(sqrt((0.16)/(0.8pi)))^3 ?

The solution to 4/3 pi(sqrt((0.16)/(0.8pi)))^3 is 0.06728…

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simplify 4/3 pi(sqrt((0.16)/(0.8pi)))^3

simplify

\frac{4}{3} π (\frac{0.16}{0.8 π})^{3}

0.06728 \dots

Solution steps

\frac{4}{3} π (\frac{0.16}{0.8 π})^{3}

(\frac{0.16}{0.8 π})^{3} : (\frac{0.16}{0.8 π})^{\frac{3}{2}}

= \frac{4}{3} π (\frac{0.16}{0.8 π})^{\frac{3}{2}}

Multiply fractions:

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

= \frac{4 π ( \frac{0.16}{0.8 π} ) ^{\frac{3}{2}}}{3}

(\frac{0.16}{0.8 π})^{\frac{3}{2}} = \frac{0.1 6 ^{\frac{3}{2}}}{2.51327 \dots ^{\frac{3}{2}}}

= \frac{4 π \frac{0.1 6 ^{\frac{3}{2}}}{2.51327 \dots ^{\frac{3}{2}}}}{3}

Multiply

4 π \frac{0.1 6 ^{\frac{3}{2}}}{2.51327 \dots ^{\frac{3}{2}}} : 0.20185 \dots

= \frac{0.20185 \dots}{3}

Divide the numbers:

\frac{0.20185 \dots}{3} = 0.06728 \dots

= 0.06728 \dots

e^{- (95 - 85)}

e^{- 5} \cdot \frac{5 ^{3}}{3 !}

e^{- l n ∣ s e c (x) ∣}

2.72 \cdot 2.72 \cdot 2.72

(2 + 2)^{2} e^{- (2 + 2)}

What is 4/3 pi(sqrt((0.16)/(0.8pi)))^3 ?
The solution to 4/3 pi(sqrt((0.16)/(0.8pi)))^3 is 0.06728…