What is 4/3*pi(2.197*10^{-39}) ?

The solution to 4/3*pi(2.197*10^{-39}) is 9.20277E-39

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simplify 4/3pi(2.19710^{-39})

simplify

\frac{4}{3} \cdot π (2.197 \cdot 1 0^{- 39})

9.20277 E - 39

Solution steps

\frac{4}{3} π (2.197 \cdot 1 0^{- 39})

Apply exponent rule:

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

= 2.197 π \frac{4}{3} \cdot \frac{1}{1 0 ^{39}}

Multiply fractions:

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

= 2.197 \cdot \frac{4 \cdot 1 π}{1 0 ^{39} \cdot 3}

\frac{4 \cdot 1 π}{3 \cdot 1 0 ^{39}} = \frac{π}{5 ^{39} \cdot 2 ^{37} \cdot 3}

= 2.197 \cdot \frac{π}{5 ^{39} \cdot 2 ^{37} \cdot 3}

Multiply fractions:

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

= \frac{π 2.197}{5 ^{39} \cdot 2 ^{37} \cdot 3}

Convert element to a decimal form

5^{39} = 1.81899 E 27

= \frac{2.197 π}{2 ^{37} \cdot 3 \cdot 1.81899 E 27}

Multiply the numbers:

3.14159 \dots \cdot 2.197 = 6.90207 \dots

= \frac{6.90207 \dots}{2 ^{37} \cdot 3 \cdot 1.81899 E 27}

Convert element to a decimal form

2^{37} = 137438953472

= \frac{6.90207 \dots}{137438953472 \cdot 3 \cdot 1.81899 E 27}

Multiply the numbers:

1.81899 E 27 \cdot 137438953472 \cdot 3 = 7.5 E 38

= \frac{6.90207 \dots}{7.5 E 38}

Divide the numbers:

\frac{6.90207 \dots}{7.5 E 38} = 9.20277 E - 39

= 9.20277 E - 39

e^{- 0. 7^{2}}

e^{- \frac{1}{2} l n (x)}

12^{7}

\frac{d ^{2}}{d x ^{2}} (e^{r x})

What is 4/3*pi(2.197*10^{-39}) ?
The solution to 4/3*pi(2.197*10^{-39}) is 9.20277E-39