What is the radical form of each of the given expressions?

drag the answer into the box to match each expression.

2^1/2
2^2/3
3^3/2
3^1/3

Step-by-step explanation:

These exponential forms can be written into radicals very easily as long as you remember the rule:  The denominator of the rational exponent serves as the index of the radical and the numerator serves as the exponent on the radicand. Let's look at a rational exponent.  3/4  4 would be the index on the radical (the number that sits in the little dip of the radical sign) and 3 is the power on the base.  So

can be written in radical form as

Let's do 3^3/2 in your problem.  2 is the index (which is a "normal" square root and you don't need to write a 2 there cuz it's understood that it's a 2 if nothing is there), and 3 is the power on the base, which in our case is a 3.  Bases can be numbers OR letters.

That does in fact have an actual number answer, but I don't think you are simplifying them yet, only learning to write them from one form to another, so there you go!

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.