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In scientific notation, (6.2 x 10^4) x (3.3 x 10^2 ) equals ____________________.

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User TWL
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you will get 20460000 as your answer which is broken down into, 2.046 x 10^7 as your number has to be between 1-10.
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User SiBrit
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For this case we have the following multiplication:


image

For associative property, we can rewrite the expression as:


image

Then, by properties of exponents we have:

In the multiplication, if we have the same base, the exponents are added.

Therefore, by rewriting the expression we have:


image

Finally:


image

Then, we rewrite the result correctly in scientific notation.

To do this, we move the point one space to the left and increase the degree of the exponent one unit:


image

Answer:

In scientific notation,
(6.2 * 10 ^ 4) * (3.3 * 10 ^ 2) equals
2.046 * 10 ^ 7

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User Erogol
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