Simplify completely the quantity 14 times x to the 5th power times y to the 4th power plus 21 times x to the third power times y to the 2nd power all over 7 times x to the third power times y. 2x8y5 + 3x6y3 2x2y4 + 3xy 2x2y3 + 3y 2x2y3 + 3y2

2x^2y^3 + 3y

Step-by-step explanation:

Divide the Coefficients Like you would a normal division problem for each term separately. Then subtract the like exponents.

We have to simplify the given expression:

Dividing the terms of the numerator by the given term of denominator individually, we get

=

By using the laws of exponent, , we get

=

=

=

=

Therefore, the simplification of the given expression is  .

So, Option 3 is the correct answer.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.