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\(2.046 * 10 ^ 7\)
