Simplify expression: cube root√(5/9)?

Question

a. (cube root)√15

_ _____________

..................... 3

b. (cube root)√45

_______________

..................... 9

c. (cube root)√405

_________________

....................... 9

I'm still not sure on these but I believe my answer is A

Answer 1

0.8220

Answer 2

The answer to the first is c.  The expression has been rationalized.  Do you know about rationalization ?  Why do you think the answer is a  ?

For your second question, you need to look in your text book to review/learn the properties of exponents.  When you have a rational exponent (that is the correct term for 'fraction exponent'), the denominator tells you what root to take of the base and the numerator tells you to what power to raise that result.  

You have another issue here.  Do you know what to do when the rational exponent is negative ?  Again, look in your text book or ask your teacher to explain all the properties of exponents.  

The answer to the second question is:  26 (choice c)

But this won't help you much---your teacher will.