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

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Answer 1 · 2018-05-07T21:36:36

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

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#