Question

(10300000)2 X (0.00003)3What would this be in scientific notation?

Answer 1

To transform numbers into scientific notation, we need to count the spaces from the decimal point, so 10300000 and 0.00003 can be written as:

`\begin{gathered} 10300000=1.03*10^7 \\ 0.00003=3*10^(-5) \end{gathered}`

Then, the initial expression can be written as:

`(1.03*10^7)^2*(3*10^(-5))^3`

So, using the properties of the exponents, we get:

`\begin{gathered} (1.03*10^7)^2*(3*10^(-5))^3 \\ 1.03^2*10^(7\cdot2)*3^3*10^(-5\cdot3) \\ 1.0609*10^(14)*27*10^(-15) \\ 28.6443*10^(14-15) \\ 28.6443*10^(-1) \end{gathered}`

Then, if we want to move the decimal one place to the left, we can write the number as 2.86443