For this case we have the following multiplication:
[tex] (6.2 * 10 ^ 4) * (3.3 * 10 ^ 2)
[/tex]
For associative property, we can rewrite the expression as:
[tex] (6.2 * 3.3) * (10 ^ 4 * 10 ^ 2)
[/tex]
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:
[tex] (6.2 * 3.3) * (10 ^{4 + 2})
[/tex]
Finally:
[tex] (20.46) * (10 ^ 6)
[/tex]
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:
[tex] 2.046 * 10 ^ 7
[/tex]
Answer:
In scientific notation, [tex] (6.2 * 10 ^ 4) * (3.3 * 10 ^ 2) [/tex] equals[tex] 2.046 * 10 ^ 7 [/tex]
