What is (2x10^9)(3.4x10^{-4}) ?

The solution to (2x10^9)(3.4x10^{-4}) is 10^5*6.8x^2

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simplify (2x10^9)(3.4x10^{-4})

simplify

(2 x 1 0^{9}) (3.4 x 1 0^{- 4})

1 0^{5} \cdot 6.8 x^{2}

Solution steps

(2 x \cdot 1 0^{9}) (3.4 x \cdot 1 0^{- 4})

Simplify

3.4 x \cdot 1 0^{- 4} : \frac{3.4 x}{10000}

= 2 x \cdot 1 0^{9} \cdot \frac{3.4 x}{10000}

Apply the fraction rule:

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

= \frac{2 x \cdot 1 0 ^{9} \cdot 3.4 x}{10000}

Simplify

2 x \cdot 1 0^{9} \cdot 3.4 x : 1 0^{9} \cdot 6.8 x^{2}

= \frac{1 0 ^{9} \cdot 6.8 x ^{2}}{10000}

Factor the number:

10000 = 1 0^{4}

= \frac{1 0 ^{9} \cdot 6.8 x ^{2}}{1 0 ^{4}}

\frac{1 0 ^{9}}{1 0 ^{4}} = 1 0^{5}

= 1 0^{5} \cdot 6.8 x^{2}

e^{(- \frac{x}{2})} x

e^{3} \cdot e^{- (- x + 4)}

577000 e^{- 0.022 (4)}

9.11 \cdot 1 0^{- 28} \cdot 17

4.58 \cdot 1 0^{- 4}

What is (2x10^9)(3.4x10^{-4}) ?
The solution to (2x10^9)(3.4x10^{-4}) is 10^5*6.8x^2