Question

(4.7 x 10-3) x 351Simplify the expressionusing scientific notation and express your answer(2.5 x 10') < (3.3 X 100)in scientific notation. Round your answer to the nearest thousandth.AnswerKeypadKeyboard Shortcutsx10

Answer 1

Given:

`((4.7*10^(-3))*351)/((2.5*10^5)*(3.3*10^6))`

Remove the brackets and multiply common terms

`\begin{gathered} ((4.7*10^(-3))*351)/((2.5*10^5)*(3.3*10^6)) \\ =(4.7*10^(-3)*351)/(2.5*10^5*3.3*10^6) \\ =(4.7*351*10^(-3))/(2.5*3.3*10^5*10^6) \\ =(1649.7*10^(-3))/(8.25*10^(11)) \end{gathered}`

Simplify further to get

`\begin{gathered} (1649.7*10^(-3))/(8.25*10^(11)) \\ =\frac{16497*10^(-1)_{}*10^(-3)}{825*10^(-2)*10^(11)} \\ =(16497*10^(-4))/(825*10^9) \end{gathered}`

This further gives

`\begin{gathered} (16497*10^(-4))/(825*10^9) \\ =(16497)/(825)*(10^(-4))/(10^9) \\ =19.996*10^(-4-9) \\ =19.996*10^(-14) \end{gathered}`

Therefore, the answer is

`19.996*10^(-14)`