Question

Identify the missing numbers below:

(3.5 x 10^16)(2.2 x 10^10) = A x 10^b
To find what a and b should be please!

Answer 1

A = 7.7

b = 26

Explanation:

`(3.5 * 10^(16))(2.2 * 10^(10)) = A * 10^b \\ 3.5 * 2.2 * 10^(16) * 10^(10)= A * 10^b \\ 7.7 * {10}^(16 + 10) = A * 10^b \\ 7.7 * {10}^(26) = A * 10^b \\ equating \: like \: terms \: on \: both \: sides \\ A = 7.7 \\ 10^b = {10}^(26) \\ \implies \: b = 26`