What is 6x10^{-3}(5.3x10^3)/(10^{-9)} ?

The solution to 6x10^{-3}(5.3x10^3)/(10^{-9)} is 31.8*10^9x^2

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simplify 6x10^{-3}(5.3x10^3)/(10^{-9)}

simplify

6 x 1 0^{- 3} \frac{5.3 x 1 0 ^{3}}{1 0 ^{- 9}}

31.8 \cdot 1 0^{9} x^{2}

Solution steps

6 x \cdot 1 0^{- 3} \cdot \frac{5.3 x \cdot 1 0 ^{3}}{1 0 ^{- 9}}

1 0^{- 3} = \frac{1}{1000}

= 6 x \frac{1}{1000} \cdot \frac{5.3 x \cdot 1 0 ^{3}}{1 0 ^{- 9}}

Cancel

\frac{5.3 x \cdot 1 0 ^{3}}{1 0 ^{- 9}} : 5.3 x \cdot 1 0^{12}

= 6 x \frac{1}{1000} \cdot 5.3 x \cdot 1 0^{12}

Apply the fraction rule:

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

= \frac{6 x \cdot 1 \cdot 5.3 x \cdot 1 0 ^{12}}{1000}

Simplify

6 x \cdot 1 \cdot 5.3 x \cdot 1 0^{12} : 31.8 x^{2} \cdot 1 0^{12}

= \frac{31.8 x ^{2} \cdot 1 0 ^{12}}{1000}

Factor the number:

1000 = 1 0^{3}

= \frac{31.8 x ^{2} \cdot 1 0 ^{12}}{1 0 ^{3}}

\frac{1 0 ^{12}}{1 0 ^{3}} = 1 0^{9}

= 31.8 x^{2} \cdot 1 0^{9}

= 31.8 \cdot 1 0^{9} x^{2}

(4 y^{7}) (5 y^{4})

(4 x^{3}) (9 x)

- 0.7978 e^{- 0.01 (75)}

109 e^{- 0.3 \cdot 5}

5 x^{3} y z^{2} (3 y z^{3})

What is 6x10^{-3}(5.3x10^3)/(10^{-9)} ?
The solution to 6x10^{-3}(5.3x10^3)/(10^{-9)} is 31.8*10^9x^2