1. Rewrite the expression as a product of identical factors to find the product for 100 3/2

Question

. Submit your answer in simplified form and do not include a comma in your answer.(1 point)
​100 3/2= __

Question 2
2. Rewrite the expression as a product of identical factors to simplify 12523
. Submit your answer in simplified form.(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
125 2/3
= Response area = Response area = Response area

Question 3
3. What rational number could be used as an exponent to rewrite 4√23
? (Hint: what should go in the yellow box)(1 point)
The exponent could be written as

Question 4
4. How can you rewrite 9 1/3
using a root?(1 point)
9 1/3=


Question 5
5. What is the simplified form of 27 1/3
?(1 point)
27 1/3
=

Answer 1

Here are the answers to your questions:

Question 1

1. Rewrite the expression as a product of identical factors to find the product for \(100^{3/2}\). \[ 100^{3/2} = (100^{1/2})^3 = (10)^3 = 1000 \] Answer: 1000

Question 2

2. Rewrite the expression as a product of identical factors to simplify \(125^{2/3}\). \[ 125^{2/3} = (125^{1/3})^2 = (5)^2 = 25 \] Answer: 25

Question 3

3. What rational number could be used as an exponent to rewrite \(4 \sqrt{23}\)?
   • The expression can be rewritten as \(23^{1/4}\). Answer: 1/4

Question 4

4. How can you rewrite \(9^{1/3}\) using a root? \[ 9^{1/3} = \sqrt[3]{9} \] Answer: \(\sqrt[3]{9}\)

Question 5

5. What is the simplified form of \(27^{1/3}\)? \[ 27^{1/3} = 3 \] Answer: 3

If you need further elaboration on any of the answers, feel free to ask!