What is 1/2 (50*10^{-3})((2pi*0.17)/(1.8))^2 ?

The solution to 1/2 (50*10^{-3})((2pi*0.17)/(1.8))^2 is 0.00880…

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simplify 1/2 (5010^{-3})((2pi0.17)/(1.8))^2

simplify

\frac{1}{2} (50 \cdot 1 0^{- 3}) (\frac{2 π \cdot 0.17}{1.8})^{2}

0.00880 \dots

Solution steps

\frac{1}{2} (50 \cdot 1 0^{- 3}) (\frac{2 π 0.17}{1.8})^{2}

Apply exponent rule:

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

= 50 \cdot \frac{1}{2} \cdot \frac{1}{1 0 ^{3}} (\frac{2 \cdot 0.17 π}{1.8})^{2}

(\frac{2 π 0.17}{1.8})^{2} = \frac{0.3 4 ^{2} π ^{2}}{1. 8 ^{2}}

= 50 \cdot \frac{1}{2} \cdot \frac{1}{1 0 ^{3}} \cdot \frac{0.3 4 ^{2} π ^{2}}{1. 8 ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot 0.3 4 ^{2} π ^{2} \cdot 50}{2 \cdot 1 0 ^{3} \cdot 1. 8 ^{2}}

Multiply the numbers:

1 \cdot 1 \cdot 50 = 50

= \frac{50 \cdot 0.3 4 ^{2} π ^{2}}{1 0 ^{3} \cdot 2 \cdot 1. 8 ^{2}}

Divide the numbers:

\frac{50}{2} = 25

= \frac{25 \cdot 0.3 4 ^{2} π ^{2}}{1 0 ^{3} \cdot 1. 8 ^{2}}

Factor

25 : 5^{2}

Factor

1 0^{3} : 2^{3} \cdot 5^{3}

= \frac{5 ^{2} \cdot 0.3 4 ^{2} π ^{2}}{2 ^{3} \cdot 5 ^{3} \cdot 1. 8 ^{2}}

Cancel

\frac{5 ^{2} \cdot 0.3 4 ^{2} π ^{2}}{2 ^{3} \cdot 5 ^{3} \cdot 1. 8 ^{2}} : \frac{0.3 4 ^{2} π ^{2}}{2 ^{3} \cdot 5 \cdot 1. 8 ^{2}}

= \frac{0.3 4 ^{2} π ^{2}}{2 ^{3} \cdot 5 \cdot 1. 8 ^{2}}

0.3 4^{2} = 0.1156

= \frac{0.1156 π ^{2}}{2 ^{3} \cdot 5 \cdot 1. 8 ^{2}}

2^{3} \cdot 5 \cdot 1. 8^{2} = 129.6

= \frac{0.1156 π ^{2}}{129.6}

Convert element to a decimal form

π^{2} = 9.86960 \dots

= \frac{0.1156 \cdot 9.86960 \dots}{129.6}

Multiply the numbers:

0.1156 \cdot 9.86960 \dots = 1.14092 \dots

= \frac{1.14092 \dots}{129.6}

Divide the numbers:

\frac{1.14092 \dots}{129.6} = 0.00880 \dots

= 0.00880 \dots

- 5 e^{- 2}

(3 - 5)^{2}

\frac{\partial}{\partial y} ((z) (x^{2} x y^{2} z))

\frac{5}{2}^{2}

16 - x^{2} \cdot x + 1

What is 1/2 (50*10^{-3})((2pi*0.17)/(1.8))^2 ?
The solution to 1/2 (50*10^{-3})((2pi*0.17)/(1.8))^2 is 0.00880…