Simplify the expression. Write the answer using scientific notation. (7 * 105) 2 a. 4.9 * 1010 b. 4.9 * 1011 c. 4.9 * 109 d. 49 * 1010

b. 4.9 * 1011

Step-by-step explanation:

Using scientific notation is similar to expressing in standard form. Given that (7 * 105) 2

We open the parenthesis. This may first be expressed as

7² * 10⁽⁵⁾²

Then expand,

= 49 * 10¹⁰

To put in scientific notation, 49 = 4.9 * 10

Hence the expression becomes

= 4.9 * 10 * 10¹⁰

Using the laws of indices

= 4.9 * 10¹¹ in scientific notation