Math hw help?! scientific notation stuff. >.<?

Question

Question: Find the value of the following and write your answers in standard form:

1) (4.4 X 10^3) X (2 X 10^5)

2) (5 X 10^9) X (8.4 X 10^12)

3) (5.0 X 10^12)^2

by the way, the ' ^ ' means 'to the power of.

and can you please explain how you did this?

thanks < 3

Answer 1

1)  (4.4 X 10^3) X  (2 X 10^5)

    

     = (2 X 4.4) X (10^3 X 10^5)  

     = 8.8 X 10^8 (answer)

2)  (5 X 10^9) X (8.4 X 10^12)

    

     = (5 X 8.4) X (10^9 X 10^12)

     = (42.0) X (10^21)

    

     = (4.2 X 10^1) X10^21

    

     = 4.2 X (10^1 X 10^21)

     = 4.2 X 10^22 (answer)

3)  (5.0 X 10^12)^2

     = (5.0 X 10^12) X (5.0 X 10^12)

     =(5.0 X 5.0) X (10^12 X 10^12)

     =25.0 X 10^24

     = (2.5 X 10^1) X 10^24

     = 2.5 X (10^1 X 10^24)

     = 2.5 X 10^25 (answer.

Answer 2

1 becomes 4400 x 200000

2 becomes 5000000000 x 8400000000000

3(500000000000) ^2