Question

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 _.

Answer 1

The answer is:

`6.561*10^(-7)\\0.0000006561`

The explanation is shown below:

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

`(8.1*10^(-4))^2`

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

`65.61*10^(-8)=6.561*10^(-7)`

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

`0.0000006561`