Perform the following operation and express the answer in scientific notation. 9.2 * {10}^(7) / 3.7 * {10}^(9) [?]×10[?]​

Question

Perform the following operation and express the answer in scientific notation.


`9.2 * {10}^(7) / 3.7 * {10}^(9)`

[?]×10[?]​

Answer 1

2.486 x 10^-2

Explanation:

Let's break it apart so that the decimals are on one side and the exponents are on another:

9.2 ÷ 3.7

10^7 ÷ 10^9

Let's solve each one

9.2 ÷ 3.7 = 2.486 (rounded to the nearest thousandth)

10^7 ÷ 10^9

To find the quotient of exponents with the same base, we subtract the exponents. So, it would be 7-9 which is -2.

When we put them together, we get a final answer of 2.486 x 10^-2.