Apply the laws of exponents, calculate the result and express the result in scientific notation, and as a decimal: (8.1*10^-4)^2


Format your answer like this: The result of the scientific notation is __*10^--. The result as a decimal is _.

Respuesta :

The answer is:

[tex]6.561*10^{-7}\\0.0000006561[/tex]

The explanation is shown below:

1. You have the following expression given in the problem above:

[tex](8.1*10^{-4})^2[/tex]

2. By applying the properties of exponents, the power rule, you can multiply the power 2 by and the power -4, then:

[tex]65.61*10^{-8}=6.561*10^{-7}[/tex]

3. To write as a decimal, you must move the decimal point 7 places to the left. Therefore, you have:

 [tex]0.0000006561[/tex]