Question

: Below are two expressions. Simplify each and then choose the statement that is true.

Expression #1

Expression #2

Expression 1: (3x2)3x^2

Expression 2: (3x^3)^2(x^2)

The exponents in Expression #1 are greater than the exponents of Expression #2.
The exponents on Expression #2 are greater than the exponents of Expression #1.
The exponents of Expression #1 are the same as the exponents of Expression #2.
The relationship cannot be determined with the given information.

The answer I got was A

Answer 1

First, what we should do is simplify both expressions.
We have then:

Expression 1:
(3x2) 3x ^ 2
(9x ^ (2 + 2))
9x ^ 4
Expression 2:
(3x ^ 3) ^ 2 (x ^ 2)
(9x ^ 6) (x ^ 2)
(9x ^ (6 + 2))
9x ^ 8
Answer:
The exponents on Expression # 2 are greater than the exponents of Expression # 1.
(8> 4)