Answer:
Step-by-step explanation:
Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.
Examples
(a) 
From above, we have a power to a power, so, we can think of multiplying the exponents.
i.e.
Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.
SO;
Let's take a look at another example
Here, we apply the 
to both 27 and 
Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.
∴
![= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)](https://tex.z-dn.net/?f=%3D%20%5CBigg%20%28%5Csqrt%5B3%5D%7B27%7D%5E%7B5%7D%20%5Ctimes%20x%5E%7B10%7D%20%7D%5CBigg%29)
What does that 3/x and 2/x mean? 2x and 3x or x^2 and x^3?
The answer is 280 because if you multiply 400 by .3 you get 120 and if you subtract 120 from 400 you get 280
Answer
Least to Greatest order by options: 3, 2, 4, 1
Step-by-step explanation:
Option 3 is 1/2 therefor its 0.5
Option 2 is 4.4
Option 4 is 10
Option 1 is 13.14
And that's put in least to greatest order.
Answers:
1) The constant of the polynomial expression represents the:
number of group members when the site launches
2) The binomial (1+7x) is a factor of the polynomial expression and represents the:
number of members per group after x months
Solution:
1) The estimate for the total number of groups members (y) is given by the polynomial expression:
y=14x^2+37x+5
where x is the number of months since the site's launch.
When the site launchs:
x=0→y=14(0)^2+37(0)+5=14(0)+0+5=0+0+5→y=5
The number of group members when the site launches is 5
And the problem says: "The site will launch with five study groups"
2) The site will launch with five study groups, each with its creator as its only member, then the number of members per group is 1.
Richard estimates that seven new members will be added to each study group every month (x), then:
The number of members per group after x months will be: 1+7x
