Question

please im doing a test i need HELP URGENTLY!!!!!! I BEG YOU GUYS!!**you must be sure about the answer ok?! PLEASE..AND thank you....

Answer 1

Simplify each expression using the laws of exponents to see if they are equal to the given number.

Remember the following:

`\begin{gathered} a^n* a^m=a^(n+m) \\ (a^n)/(a^m)=a^(n-m) \end{gathered}`

First expression:

`\begin{gathered} (2*10^8)(2*10^(-2))=2*2*10^8*10^(-2) \\ =4*10^(8-2) \\ =4*10^6 \end{gathered}`

Second expression:

`\begin{gathered} 40*10^5=4*10*10^5 \\ =4*10^(5+1) \\ =4*10^6 \end{gathered}`

Third expresion:

`\begin{gathered} 40^6=(4*10)^6 \\ =4^6*10^6 \\ =4096*10^6 \end{gathered}`

Fourth expression:

`\begin{gathered} 400,000=4*100,000 \\ =4*10^5 \end{gathered}`

Fifth expression:

`\begin{gathered} (1.2*10^9)/(3*10^2)=(1.2*10*10^8)/(3*10^2) \\ =(12*10^8)/(3*10^2) \\ =(12)/(3)*(10^8)/(10^2) \\ =4*10^(8-2) \\ =4*10^6 \end{gathered}`