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
 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)


 
        
             
        
        
        
Answer:
If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.
Step-by-step explanation:
Here is what the question is asking.  If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.
 
        
             
        
        
        
5(a - 2b) - 3(a - 2b)    |use distributive property: a(b - c) = ab - ac
= 5a - 10b - 3a + 6b
= (5a - 3a) + (-10b + 6b)
= 2a - 4b
        
                    
             
        
        
        
Answer c
Step-by-step explanation: