What is (pi*9*10^6)/2*0.5^4*(3.01^4)/(10^{12)} ?

The solution to (pi*9*10^6)/2*0.5^4*(3.01^4)/(10^{12)} is 0.00007…

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simplify (pi910^6)/20.5^4(3.01^4)/(10^{12)}

simplify

\frac{π \cdot 9 \cdot 1 0 ^{6}}{2} \cdot 0. 5^{4} \cdot \frac{3.0 1 ^{4}}{1 0 ^{12}}

0.00007 \dots

Solution steps

\frac{π 9 \cdot 1 0 ^{6}}{2} \cdot 0. 5^{4} \cdot \frac{3.0 1 ^{4}}{1 0 ^{12}}

\frac{π 9 \cdot 1 0 ^{6}}{2} = 5^{6} \cdot 2^{5} \cdot 9 π

= 5^{6} \cdot 2^{5} \cdot 9 \cdot 0. 5^{4} π \frac{3.0 1 ^{4}}{1 0 ^{12}}

Multiply fractions:

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

= \frac{3.0 1 ^{4} \cdot 5 ^{6} \cdot 2 ^{5} \cdot 9 π 0. 5 ^{4}}{1 0 ^{12}}

Factor

1 0^{12} : 2^{12} \cdot 5^{12}

= \frac{5 ^{6} \cdot 2 ^{5} \cdot 9 \cdot 0. 5 ^{4} \cdot 3.0 1 ^{4} π}{2 ^{12} \cdot 5 ^{12}}

Cancel

\frac{3.0 1 ^{4} \cdot 5 ^{6} \cdot 2 ^{5} \cdot 9 π 0. 5 ^{4}}{2 ^{12} \cdot 5 ^{12}} : \frac{9 \cdot 0. 5 ^{4} \cdot 3.0 1 ^{4} π}{2 ^{7} \cdot 5 ^{6}}

= \frac{9 \cdot 0. 5 ^{4} \cdot 3.0 1 ^{4} π}{2 ^{7} \cdot 5 ^{6}}

9 \cdot 0. 5^{4} \cdot 3.0 1^{4} π = 46.17304 \dots π

= \frac{46.17304 \dots π}{2 ^{7} \cdot 5 ^{6}}

2^{7} \cdot 5^{6} = 2000000

= \frac{46.17304 \dots π}{2000000}

Multiply the numbers:

46.17304 \dots \cdot 3.14159 \dots = 145.05689 \dots

= \frac{145.05689 \dots}{2000000}

Divide the numbers:

\frac{145.05689 \dots}{2000000} = 0.00007 \dots

= 0.00007 \dots

\frac{3}{5} + 3

3 x^{2} - 7 x - 20

- 16 t^{2} + 128 t = 0

p^{2} + 22 p - 3 = 0

\frac{3 a}{10} + \frac{3}{5} = \frac{a}{25} + \frac{1}{2}

What is (pi*9*10^6)/2*0.5^4*(3.01^4)/(10^{12)} ?
The solution to (pi*9*10^6)/2*0.5^4*(3.01^4)/(10^{12)} is 0.00007…