How do you multiply $(7xx10^-6)(6xx10^-3)$ ?

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Answer 1 · 2018-05-12T09:57:55

$= 4.2 xx 10^-8$

Compare this question with an algebraic product:

$3x^5 xx 5x^2$

We would not hesitate in multiplying the numbers and then adding the indices of the same bases, $x$ .

$3x^5 xx 5x^2 =3xx5xx x^5 xx x^2$

$= 15x^7$

Do exactly the same with the numbers in scientific notation.

Multiply the numbers and then adding the indices of the same bases, $10$ .

$7 xx10^-6 xx 10^-3$

$= 7xx6 xx10^-6 xx10^-3$

$=42 xx 10^-9$

Change to scientific notation. $42 = 4.2 xx 10$

$= 4.2 xx 10^-8$

How do you multiply (7xx10^-6)(6xx10^-3)(7xx10^-6)(6xx10^-3)?