<u>Part a)</u>
Given the expression

Apply exponent rule: 
∵ 
Rewrite 81 as 3 · 27
Rewrite 54 as 2 · 27

Factor out the common term: 27m³n
Therefore,

<u>Part B)</u>
Given the expression

Apply exponent rule: 

Rewrite as

Factor out common term 5y²x²z

Therefore,

The formula of combination is

We have

and


Hence, there are 1001 ways of arranging 10 records from 14 records
To convert the euros into dollars simply multiply 75x1.29.
Answer:
The answer is $10.80
Step-by-step explanation:
It goes up $0.70 every mile and the flat fee is $3.10.
The equation 3.1 + 0.7(x) when x is the number of miles traveled.
Substitute 11 for x and get 3.1 + 0.7(11).
The answer is $10.80
618 hope this helps you have an amazing week