Question

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

Answer 1

For this case we have the following multiplication:

$(6.2 * 10 ^ 4) * (3.3 * 10 ^ 2)$

For associative property, we can rewrite the expression as:

$(6.2 * 3.3) * (10 ^ 4 * 10 ^ 2)$

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:

$(6.2 * 3.3) * (10 ^{4 + 2})$

Finally:

$(20.46) * (10 ^ 6)$

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:

$2.046 * 10 ^ 7$

Answer:

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

Answer 2

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.