What is 2pi*1*10^9*7.05*10^{-12}*22 ?

The solution to 2pi*1*10^9*7.05*10^{-12}*22 is 0.97452…

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simplify 2pi110^97.0510^{-12}*22

simplify

2 π \cdot 1 \cdot 1 0^{9} \cdot 7.05 \cdot 1 0^{- 12} \cdot 22

0.97452 \dots

Solution steps

2 π 1 \cdot 1 0^{9} \cdot 7.05 \cdot 1 0^{- 12} \cdot 22

Apply exponent rule:

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

1 0^{9} \cdot 1 0^{- 12} = 1 0^{9 - 12}

= 2 π 1 \cdot 7.05 \cdot 1 0^{9 - 12} \cdot 22

Subtract the numbers:

9 - 12 = - 3

= 2 π 1 \cdot 7.05 \cdot 1 0^{- 3} \cdot 22

Apply exponent rule:

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

1 0^{- 3} = \frac{1}{1 0 ^{3}}

= 2 \cdot 1 \cdot 22 \cdot 7.05 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= 1 \cdot 7.05 \cdot \frac{1 \cdot 2 \cdot 22 π}{1 0 ^{3}}

\frac{1 \cdot 2 π 22}{1 0 ^{3}} = \frac{11 π}{250}

= 1 \cdot 7.05 \cdot \frac{11 π}{250}

Multiply the numbers:

1 \cdot 7.05 = 7.05

= 7.05 \cdot \frac{11 π}{250}

Multiply fractions:

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

= \frac{11 π 7.05}{250}

Multiply the numbers:

11 \cdot 7.05 = 77.55

= \frac{77.55 π}{250}

Multiply the numbers:

77.55 \cdot 3.14159 \dots = 243.63051 \dots

= \frac{243.63051 \dots}{250}

Divide the numbers:

\frac{243.63051 \dots}{250} = 0.97452 \dots

= 0.97452 \dots

(3 x^{2})^{2}

e^{- j \frac{π}{4}}

(x - 5)^{2} (x - 3)^{2}

e^{- 0 x}

- ln (\frac{1}{4}) \cdot 181 \cdot 1 0^{3} \cdot 50.2 \cdot 1 0^{- 6}

What is 2pi*1*10^9*7.05*10^{-12}*22 ?
The solution to 2pi*1*10^9*7.05*10^{-12}*22 is 0.97452…