Question 1: Calculate the value of 8^(2/3).

Answer: 4

Question 2: Simplify the expression: (16)^(3/4).

Answer: 8

Question 3: Express √27 as a fractional index in the form a^(m/n).

Answer: 27^(1/2)

Question 4: Evaluate 125^(3/5).

Answer: 15

Question 5: Construct a triangle with sides of length 8^(1/3), 4, and 2. Use the grid to draw the triangle and label the sides.

Answer: Students should demonstrate the drawing and labeling.

Question 6: Solve for x: x^(3/4) = 16.

Answer: 8

Question 7: A tree grows such that its height after t years is given by h = 5 * t^(1/2). How tall is the tree after 16 years?

Answer: 20

Question 8: Calculate (64)^(2/6).

Answer: 2

Question 9: Express 81^(1/4) as a simplified power of 3.

Answer: 3^(4/4)=3

Question 10: A calculator shows that 64^(1/3) ≈ 4. About what is 64^(2/3)?

Answer: 16

Question 11: Identify and correct the mistake: Simplify (100)^(1/2) to 10. The student said the answer is 10, is this correct? Explain.

Answer: Yes, because √100 = 10. The calculation is correct.