Answer:
The exponent of 10 in the product is 8.
Step-by-step explanation:
The expression is as follows:
[tex](3.25\times 10^{5})\cdot (1.82\times 10^{3})[/tex]
Exponent rule:
[tex]a^{m}\times a^{n}=a^{m+n}[/tex]
Simplify the expression as follows:
[tex](3.25\times 10^{5})\cdot (1.82\times 10^{3})=3.25\times 10^{5}\times 1.82\times 10^{3}[/tex]
[tex]=(3.25\times 1.82)\times (10^{5}\times 10^{3})\\\\=5.915\times 10^{5+3}\\\\=5.915\times 10^{8}[/tex]
Thus, the exponent of 10 in the product is 8.
