How do you combine like terms in #3x ^ { 4} y ^ { 9} \cdot 9x ^ { 5}#?

1 Answer
May 7, 2018

Answer:

#=>(3x^3y^3)^3#

Explanation:

If terms are multiplied, then the powers are added.
If terms are divided, then the powers are subtracted.

#3x^4y^9*9x^5#

#=(3)(9) x^(4+5)y^9#

#=27x^9y^9#

This can actually be simplified further by pulling out a common power of #3#

#=3^3 (x^3)^3(y^3)^3#

#=(3x^3y^3)^3#