Question

(9.3 x 10^8)÷(3.0 x 10-^2)

Answer 1

Statement Problem: Evaluate;

`(9.3*10^8)/(3.0*10^(-2))`

Solution:

`(9.3*10^8)/(3.0*10^(-2))=(9.3)/(3.0)*(10^8)/(10^(-2))`

We would apply the division law of indices;

`(a^b)/(a^c)=a^(b-c)`

Then,

`\begin{gathered} (9.3)/(3.0)*(10^8)/(10^(-2))=3.1*10^(8-(-2)) \\ \end{gathered}`

Hence,

`(9.3*10^8)/(3.0*10^(-2))=3.1*10^(10)`