Fractional exponents and higher roots are a very weak point for me i will mark u as brainliest.(this is a 2 part questions)

So an easy way to find these is by prime factorization. Factor the number until you can not factor any smaller. Start by dividing by smallest prime numbers like 3 or 2 for even numbers. Then look to find the correct number of roots.

Example : 4th root of 256
256
2*128
2*2*64
2*2*2*32
2*2*2*2*16
(2^4)*16
(2^4)*2*8
(2^4)*2*2*4
(2^4)*2*2*2*2
(2^4)*(2^4)
4th root of 256 = 2 × 2 = 4
Since it's an even power answer will be positive or negative. +4 or -4

A root is written as fraction power. So square root is to the power of 1/2 to the 7th power  is 7*1/2 = 7/2

32^(3/5) = [32^(1/5)]^3

2^5 = 32
you can see this by prime factoring..
32
2*16
2*2*8
2*2*2*4
2*2*2*2*2
So the 5th root of 32 is 2
Then
2^3 = 8

Number 14:
When looking at the table, the x has an increase of 3 while the y is an increase of 6. We need to divide the difference of the y by the difference of x.
6/3=2
So, that means every time x changes by one, y changes by 2. At 9, the corresponding number is 15. Since we’re to 10, the corresponding number has to be 17.
So, the answer is b, 17.

Number 15:
This problem deals with perimeter. No matter what, the perimeter is 12 feet.
To find perimeter, it is 2l+2w=12
We have the length, so let’s put it in.
2(4.5)+2(w)=12
Let’s multiply.
9+2w=12
We need w by itself, so we need to subtract 9 from both sides then divide by 2.
2w=3
3/2=1.5
The answer is A, 1.5.