How do you multiply #cg \cdot 9c ^ { 5} g ^ { 2}#?

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Answer 1 · 2016-12-12T23:48:13

#9c^6g^3#

We can redistribute the terms to multiply this expression:

#9(cc^5)(gg^2)

First, with exponents:

#color(red)(x =x^1)#

Also, to multiply like terms with exponents we use the following rule:

#color(red)(x^a * x^b = x^(a+b))#

We can now solve this problem as:

#9*(c^1*c^5)*(g^1*g^2)#

#9*(c^(1+5))*(g^(1+2))#

#9*(c^6)*(g^3)#

#9c^6g^3#