Use the definitions and theorems of this section to evaluate and simplify the following expression. be sure to express answers with positive exponents. a^8/a^6

The answer will be a^2

Step-by-step explanation:

The exponential expression given is:

=a^8/a^6  

The exponents can be solved by adding and subtracting powers. The negative exponents in denominator are converted into positive when they are moved to numerator and vice versa.

So for the given question, as there is 6 in power of a in denominator, the powers of numerators can be broken down.

=  (a^6* a^2)/a^6  

a^6 in numerator will be cancelled by the same in denominator.

=a^2

..

so what is the question

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;