Question

Fractional Exponents and Higher Roots are a very weak point for me please HELP!!!!!!!!!!!! I will mark u as brainliest.(This is a 2 part questions)

Answer 1

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