A student is attempting to simplify the exponent shown below. Which statement best applies to the sample mathematical work?
given (2x/y)^9* (x/3)^2
Step 1: I first apply the exponent in the left term, which gives the quantity 8x^3/y^3
Step 2: I next apply the exponent in the right term, which gives the quantity x^2/9
Step 3: I combine the two terms from Step 1 and Step 2 and simplify to get a final answer of 8x^6/9y^3

Question

A student is attempting to simplify the exponent shown below. Which statement best applies to the sample mathematical work? 
given (2x/y)^9* (x/3)^2 
Step 1: I first apply the exponent in the left term, which gives the quantity 8x^3/y^3
Step 2: I next apply the exponent in the right term, which gives the quantity x^2/9 
Step 3: I combine the two terms from Step 1 and Step 2 and simplify to get a final answer of 8x^6/9y^3

anonymous · Answer

A.
The student incorrectly applies the exponent in Step 1.
B.
The student incorrectly applies the exponent in Step 2.
C.
The student incorrectly combines the results from Steps 1 and 2 in Step 3.
D.
The mathematical work shown is correct.