Answer:
[tex]7.589\times 10^{2}[/tex]
Explanation:
The expression can be solved mathematically as follows:
1) [tex]8.310\times 10^{2}-7.210\times 10^{1}[/tex] Given
2) [tex]8.310\times 10^{1+1} - 7.210\times 10^{1}[/tex] Definition of sum
3) [tex](8.310\times 10^{1})\times 10^{1}-7.210\times 10^{1}[/tex] [tex]a^{m+n} = a^{m}\cdot a^{n}[/tex]/Associative property
4) [tex](8.310\times 10^{1}-7.210)\times 10^{1}[/tex] Distributive property
5) [tex](83.100-7.210)\times 10^{1}[/tex] Multiplication
6) [tex]75.89\times 10^{1}[/tex] Subtraction.
7) [tex](7.589\times 10^{1})\times 10^{1}[/tex] Multiplication/Associative property
8) [tex]7.589\times (10^{1}\times 10^{1})[/tex] Associative property
9) [tex]7.589\times 10^{2}[/tex] [tex]a^{m+n} = a^{m}\cdot a^{n}[/tex]/Result