Question

PLEASE HELP ME!!! I don’t know the answer and I have to show my work!!!

Answer 1

Since the indices of the roots are the same, we can write the given expression as

fourth root of (400/5), which is "fourth root of 80."  

What are some fourth powers?

1^4=1
2^4=16
3^4= 81

Note that 16 is a factor of 80.  Therefore:

fourth power of 80 = (fourth power of 16)*(fourth power of 5)
                              = 2*(fourth power of 5)   (answer)

Answer 2

4√400  / 4√ 5   ( both are 'fourth roots ')

= 4√ (400/5)

= 4√80

= 2.99 to nearest hundredth