Question

Compare and contrast: below are two expressions. simplify each and then choose the statement that is true. expression #1 (y^9)(2y^2)^3

expression #2(9y)(2y^3)^2
a) the exponents in expression #1 are greater than the exponents of expression #2
b) the exponents on expression #2 are greater than the exponents of expression #1.
c) the exponents of expression #1 are the same as the exponents of expression #2.
d) the relationship cannot be determined with the given information.

Answer 1

A

Explanation:

Simplify each expression following exponent rules.

• 
  `(y^9)(2y^2)^3 = y^9 2^3y^6 = 8y^(12)`
• 
  `(9y)(2y^3)^2 = 9y2^2y^6 = 36y^7`

The exponents in expression 1 simplify to a larger value then the second expression.