Question

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

Expression #1 Expression #2
(y9)(2y2)3 (9y)(2y3)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.

Answer 1

Actually, Zoexoe is correct because I just took the test, chose that answer and got it correct, so their answer is right. :)

Explanation:

Answer 2

The answer is the exponents in Expression 1 are greater than the exponents of Expression 2.
Solution:
First, we simplify both expressions. For the power of a product, we can distribute the exponent over the different factors:
Expression #1: (y^9)(2y^2)^3 => (y^9) [(2^3) (y^2)^3]
Expression #2: (9y)(2y^3)^2 => (9y) [(2^2) (y^3)^2]

When raising exponential to another power, we can multiply the exponents.
Expression #1: => (y^9) [(2^3) (y^6)]
Expression #2: => (9y) [(2^2) (y^6)]

We can multiply exponents by taking the sum of the powers.
Expression #1: => (2^3) (y^15) = 8y^15
Expression #2: => (3^2) (2^2) (y^7) = 36y^7
Based on our simplified exponents, the Expression #1 exponents are greater than the Expression #2 exponents.