Question

8.310x10^2 – 7.210x10^1

[?]x10^[?]​

Answer 1

`7.589* 10^(2)`

Step-by-step explanation:

The expression can be solved mathematically as follows:

1)
`8.310* 10^(2)-7.210* 10^(1)` Given

2)
`8.310* 10^(1+1) - 7.210* 10^(1)` Definition of sum

3)
`(8.310* 10^(1))* 10^(1)-7.210* 10^(1)`
`a^(m+n) = a^(m)\cdot a^(n)`/Associative property

4)
`(8.310* 10^(1)-7.210)* 10^(1)` Distributive property

5)
`(83.100-7.210)* 10^(1)` Multiplication

6)
`75.89* 10^(1)` Subtraction.

7)
`(7.589* 10^(1))* 10^(1)` Multiplication/Associative property

8)
`7.589* (10^(1)* 10^(1))` Associative property

9)
`7.589* 10^(2)`
`a^(m+n) = a^(m)\cdot a^(n)`/Result