Question

Finally, consider the expression (6.67 x 10^-11)(5.97 x 10^24)/(6.38 x 10^6)^2 Determine the values of a and k when the value of this expression is written in scientific rotation. Enter a and k, separated by commas.

Answer 1

Step-by-step explanation:

We need to find the value of following expression :

`((6.67 * 10^(-11))(5.97 * 10^(24)))/((6.38 * 10^6)^2)`

Firstly, solving the numerator of the above expression :

`=(39.8199* 10^(-11+24))/(40.7044* 10^(12))\\\\=(39.8199* 10^(13))/(40.7044* 10^(12))\\\\=9.7827`

Rounding off the result = 9.78

In scientific notation :
`9.78* 10^0`

The value of a = 9.78 and k = 0.