What is (2pi)(10^3)(1.02*10^{-6}) ?

The solution to (2pi)(10^3)(1.02*10^{-6}) is 0.00640…

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simplify (2pi)(10^3)(1.02*10^{-6})

simplify

(2 π) (1 0^{3}) (1.02 \cdot 1 0^{- 6})

0.00640 \dots

Solution steps

(2 π) (1 0^{3}) (1.02 \cdot 1 0^{- 6})

Apply exponent rule:

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

1 0^{3} \cdot 1 0^{- 6} = 1 0^{3 - 6}

= 2 π 1.02 \cdot 1 0^{3 - 6}

Subtract the numbers:

3 - 6 = - 3

= 2 π 1.02 \cdot 1 0^{- 3}

Apply exponent rule:

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

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

= 2 \cdot 1.02 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= 1.02 \cdot \frac{1 \cdot 2 π}{1 0 ^{3}}

\frac{1 \cdot 2 π}{1 0 ^{3}} = \frac{π}{500}

= 1.02 \cdot \frac{π}{500}

Multiply fractions:

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

= \frac{π 1.02}{500}

Multiply the numbers:

3.14159 \dots \cdot 1.02 = 3.20442 \dots

= \frac{3.20442 \dots}{500}

Divide the numbers:

\frac{3.20442 \dots}{500} = 0.00640 \dots

= 0.00640 \dots

1162 \cdot (\frac{( 55 - 20 ) ^{0.54}}{( 55 - 45 ) ^{0.54}})

(6.93 \cdot 1 0^{- 3}) \cdot 1200

2 e^{- 0.5 (- 2)}

7.7 \cdot 1 0^{- 5}

2 \cdot 1.6 \cdot 1 0^{- 19}

What is (2pi)(10^3)(1.02*10^{-6}) ?
The solution to (2pi)(10^3)(1.02*10^{-6}) is 0.00640…