Answer :
We start by multiplying the coefficients and the powers of ten separately.
1. Multiply the coefficients:
[tex]$$8.2 \times 4.5 = 36.9.$$[/tex]
2. Multiply the powers of ten by adding the exponents:
[tex]$$10^9 \times 10^{-5} = 10^{9 + (-5)} = 10^4.$$[/tex]
This gives us:
[tex]$$36.9 \times 10^4.$$[/tex]
3. The number must be expressed in proper scientific notation, where the coefficient is between 1 and 10. Since 36.9 is not between 1 and 10, we rewrite it by shifting the decimal point one place to the left:
[tex]$$36.9 \times 10^4 = 3.69 \times 10^5.$$[/tex]
Thus, the product in scientific notation is:
[tex]$$\boxed{3.69 \times 10^5}.$$[/tex]
1. Multiply the coefficients:
[tex]$$8.2 \times 4.5 = 36.9.$$[/tex]
2. Multiply the powers of ten by adding the exponents:
[tex]$$10^9 \times 10^{-5} = 10^{9 + (-5)} = 10^4.$$[/tex]
This gives us:
[tex]$$36.9 \times 10^4.$$[/tex]
3. The number must be expressed in proper scientific notation, where the coefficient is between 1 and 10. Since 36.9 is not between 1 and 10, we rewrite it by shifting the decimal point one place to the left:
[tex]$$36.9 \times 10^4 = 3.69 \times 10^5.$$[/tex]
Thus, the product in scientific notation is:
[tex]$$\boxed{3.69 \times 10^5}.$$[/tex]