Exercise 1:
The exponents are wrong: when you divide two power, you subtract the exponents:

Exercise 2:
The function represents a growth rate of 300%! 3% is actually written as 0.03, so the correct function is

Exercise 3:
To factor a quadratic equation, we have to find the roots. Once you have the roots
, you can factor the expression as 
In this case, the solutions are
, which yields the factorization

Exercise 4:
When you multiply two powers of the same base, you add the exponents:

So, in your case, you have

When two linear equations have only one solution the two lines on a graph would intersect each other ( they would only touch in one spot).
The GCF of the first two is 4p³q².
The GCF of the second two is 8pq⁵.
The GCF of the third two is 4p²q⁵.
The GCF of the fourth two is 8p²q.
The GCF of the fifth two is 4p²q.
To find the GCF of each pair, find the greatest number that will divide into each coefficient. As for the variable portions, choose the variable that has the smallest exponent from each pair.
Answer:
What's the question though?
Step-by-step explanation: