Question

Can someone help me only on number one so I can learn how to do it

Answer 1

`8.97 * 10^(8)`

Explanation:

3.9 x 2.3 = 8.97

Now let's disregard the bases, leaving:

^2 x ^6 which is the same as 2 + 6 = 8

When you multiply exponents, you are just adding the numbers (same thing with division, you are just subtracting the numbers)

The base numbers don't change as long as it is the same numbers so:

`10^(2) * 10^(6)` =
`10^(8)`

Giving you:
`8.97 * 10^(8)`

Answer 2

8.97x10^8

Explanation:

(3.9x10^2)(2.3x10^6)

First multiply the 3.9 and 2.3 to get 8.97. Second, simply add the powers (2+6) to get 8. Altogether we get 8.97x10^8

All you need to do is multiply the first numbers (in this case 3.9 and 2.3) and add the powers (in this case 2 and 6). Leave the 10s untouched.

To check your work you can go to a graphing calculator and simply plug in this exact equation and multiply. You should get 897000000, which, when put into scientific notation equals our answer 8.97x10^8

Hope this helps!