Explain how the quotient of powers was used to simplify this expression. 2 to the fifth power, over 8 = 22 by finding the quotient of the bases to be one fourth, and cancelling common factors by finding the quotient of the bases to be one fourth, and simplifying the expression by simplifying 8 to 23 to make both powers base two, and subtracting the exponents by simplifying 8 to 23 to make both powers base two, and adding the exponents

Step-by-step explanation:

We have been given the expression  2^5/8=2^2

8 can be rewritten as 2^3

Hence, the given expression becomes

2^5/2^3=2^2

After subtracting the exponents on left hand side of the equation we get:

2^2=2^2

we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.

 we can do it by simplifying 8 to to make both powers base two, and subtracting the exponents.

Step-by-step explanation:

We have been given the expression  

8 can be rewritten as

Hence, the given expression becomes

After subtracting the exponents on left hand side of the equation we get:

we can do it by simplifying 8 to to make both powers base two, and subtracting the exponents.

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.

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4