Let's perform the division and express the resulting quotient in correct scientific notation.
### Step-by-Step Solution:
1. Write down the given values:
[tex]\[
9 \times 10^2 \div 3 \times 10^{12}
\][/tex]
2. Simplify the coefficients:
Divide the coefficients (i.e., the numerical parts):
[tex]\[
\frac{9}{3} = 3
\][/tex]
3. Subtract the exponents:
Using the property of exponents for division, [tex]\( 10^a \div 10^b = 10^{a - b} \)[/tex]:
[tex]\[
10^2 \div 10^{12} = 10^{2 - 12} = 10^{-10}
\][/tex]
4. Combine the simplified coefficient with the resulting power of ten:
The result then is:
[tex]\[
3 \times 10^{-10}
\][/tex]
Thus, the quotient of [tex]\( 9 \times 10^2 \div 3 \times 10^{12} \)[/tex] is expressed in correct scientific notation as:
[tex]\[
3.0 \times 10^{-10}
\][/tex]
This is already in scientific notation form, with the coefficient between 1 and 10 and the exponent indicating the power of ten.
